Yamane Hiroyuki 山根宏之

… Alternative Names

YAMANE Hiroyuki 山根宏之

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Researcher Number	10230517
Other IDs
Affiliation (Current)	2023: 富山大学, 学術研究部理学系, 教授
Affiliation (based on the past Project Information) *help	2019 – 2022: 富山大学, 学術研究部理学系, 教授 2014 – 2018: 富山大学, 大学院理工学研究部(理学), 教授 2013: 富山大学, 理工学研究部(理学), 教授 2012: 大阪大学, 大学院・人間科学研究科, 准教授 2010 – 2012: 大阪大学, 情報科学研究科, 准教授 … More 2007 – 2009: Osaka University, Graduate School of animation Scienoe and Technology, Associate Professor 2005 – 2006: 大阪大学, 大学院情報科学研究科, 助教授 2003 – 2005: Osaka University, Information Science and Technology, Associate Professor, 大学院・情報科学研究科, 助教授 1998 – 2001: 大阪大学, 大学院・理学研究科, 講師 1996: Osaka University, Mathematics, Associate Professor, 大学院・理学研究科, 講師 1991 – 1994: 大阪大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Global analysis / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 数学一般(含確率論・統計数学)
Keywords	Principal Investigator ホップ代数 / ワイル亜群 / 量子群 / 一般化された量子群 / スーパーリー代数 / ニコルス代数 / コクセター群 / コクセター亜群 / 量子包絡超代数 / Z … More / アフィン型量子包絡超代数 / 1の巾根での量子群 / 量子群と結び目の不変量 / スーパー代数 / 無限次元Lie代数 / スーパーLie代数 / Nichols代数 / 多変数アフィンリー代数 / 無限次元ルート系 / 一般化された量子代数 / 一般化されたルート系 / ルート系 / 国際情報交換 / リー代数 / 超代数 / トロイダル超代数 / 頂点作用素代数 / 現論 / 整数論 / 表現論 / 数理物理学 / 偏微分方程式 / 岩堀ヘッケ代数 / Superalgebras / Quantum groups / Toroidal superalgebras / Vertex operator algebras / Representaion theory / Number theory / 楕円リー代数 / 楕円超リー代数 / 楕円量子群 / スーパー量子群 / 3Z量子群 / コクセター群半群 / 半群の語問題 / 楕円リー超代数 / 楕円リー起代数 / 楕円ルート系 / Elliptic Lie algebras / Elliptic Lie superalgebras / Elliptic quantum groups / Super quantum groups / 3Z quantum groups / Coxeter groups / Coxeter groupoids / Word problem of semigroups / スーパーリー打数 / リースーパー代数 / ハミルトン閉路 … More Except Principal Investigator 共形場理論 / 頂点作用素代数 / リーマン面 / テンソル圏 / 量子群 / 表現論 / 力学系 / モジュライ空間 / Verlinde公式 / 無限次元代数 / 結び目 / Quantum group / 量子不変量 / representation theory / アインシュタイン多様体 / リ-マニアンサブマ-ション / 主ト-ラス束 / 等質空間 / ケ-ラ-Cー空間 / エルゴード理論 / 確率過程 / フックス群 / 閉測地線 / 極限定理 / ビリヤード / フラクタル / 頂点代数 / ボゾン / 共形ベクトル / 有限半順序集合 / 比較可能グラフ / 単体的複体 / Cohen-Macaulay環 / Hilbert函数 / 極小自由分解 / ベッチ数列 / 凸多面体 / ブロック多元環 / 群環 / アウスランダー・ライテン / 既約加群 / ランク多様体 / 対称群 / コモホロジー群 / 交代群 / 可積分系 / 一般超幾何微分方程式 / 可解格子模型 / Bethe仮説 / 一般化超幾何微分方程式 / 超幾何函数 / Macdonald多項式 / 箱玉系 / ソリトン / 粘性流体 / 作用素環論 / モジュラー / 重力場 / ヘッケ環 / グラフ / ルート系 / 特異点 / 超リー代数 / ホップ代数 / 局所ワイル群 / デル・ペッツオ曲面 / 基本群 / エルンスト方程式 / ヘーガード分解 / オービホールド / ベルグマン核 / テンパリー・リーブ代数 / Ernst equation / Knot invariant / Hecke algebra / Singularity / Super Lie algebra / Abhyankar-Mohの定理 / 開代数曲面 / 超ケーラー多様体 / Log幾何学 / Hodge構造 / 一般型代数曲面 / BMW代数 / アフィン空間 / 代数群の作用 / 射影代数多様体 / Theorem of Abhyankar-Moh / Open algebraic surfaces / Hyper Kahler manifold / Log geometry / Hodge structure / Quantum invariant / Surface of general type / BMW algebra / 結び目理論 / 3次元多様体論 / 有限型不変量 / 低次元位相幾何 / 3次元多様体 / 双曲構造 / 双曲幾何 / 有限群 / 写像類群 / ウェブ図 / 量子摂動不変量 / Riemann surface / Knot theory / 3-dimensional manifold / vertey operator algebra / quantum invariant / finite type invariant / カオス / 大自由度 / 集団運動 / 準安定状態 / 間欠性 / 遷移ダイナミクス / 非線形力学系 / アトラクター / 大自由度系 / 遷移 / 分岐 / サドル / 数値実験 / 非線形性 / レプリケーター方程式系 / 生態系 / 対称性 / Chaos / large dimensional system / collective motion / quasi-stable state / intermittency / chaotic itinerancy / nonlinear dynamics / attractor / 代数幾何 / 頂点作用素 / 数理物理学 / 数理物理 / 共形ブロック / モジュラー変換 / conformal field theory / algebraic geometry / vertex operator / vertex algebra / mathematical physics / 点つきリーマン面 / モジュラーなテンソル圏 / 点付きリーマン面 / 位相不変量 / D-加群 / カイラル代数 / Conformal field Theory / Pointed Riemann surface / Moduli space / Modular tensor category / トロイダルリー代数 / 差分演算子 / ヴィラソロ代数 / トロイダルリー代数 / 可積分表現 / Toroidal Lie algebra / Difference operator / Virasoro algebra Less

Study of generalized quantum groups by using Weyl groupoidsPrincipal Investigator
- Principal Investigator
  
  山根宏之
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Toyama
Weyl groupoids, generalized quantum groups, and related graph theoryPrincipal Investigator
- Principal Investigator
  
  山根宏之
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Toyama
Study of generalized quantum groups, Coxeter groupoids and related topicsPrincipal Investigator
- Principal Investigator
  
  Yamane Hiroyuki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Toyama
On representation theory of generalized quantum groups and algebras related to themPrincipal Investigator
- Principal Investigator
  
  Yamane Hiroyuki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Toyama
Development of a universal representation theory of generalized quantum enveloping algebras with structures of Coxeter groupoidsPrincipal Investigator
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Generalized quantum groups, including super and elliptic ones, and Weyl groupoidsPrincipal Investigator
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
A study of commutative rings of differential operators in completely integrable models and their eigenfunctions
- Principal Investigator
  
  DATE Etsuro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
共形場理論,作用素環論とモジュラーなテンソル圏
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
共形場理論の方法によるモジュライ空間上の連接層の構成
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Moduli space of pointecl autrves and conismal field theory
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theoriesPrincipal Investigator
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
The study of quantum toroidal algebras
- Principal Investigator
  
  MIKI Kei
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Representation theory of vertex operator algobras and contormal tield theory
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Study on the emergent mechanism of macroscopic dynamical structure in large dimensional dynamical systems
- Principal Investigator
  
  CHAWANYA Tsuyoshi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  数学一般(含確率論・統計数学)
- Research Institution
  Osaka University
アウスランダーライテン理論における既約加群の役割について
- Principal Investigator
  
  宇野勝博
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Quantum structure of Riemann surfaces and its application to low-climensional topology
- Principal Investigator
  
  MURUKAMI Jun
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Representation theory of the quantized enveloping algebras and the quantized enveloping superalgebrasPrincipal Investigator
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
頂点作用素代数の数理物理学への応用
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
有限半順序集合の組合せ論における代数的基礎理論の研究
- Principal Investigator
  
  HIBI Takayuki
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Geometric Study of Algebraic Systems
- Principal Investigator
  
  MIYANISHI Masayoshi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
量子包絡代数,量子包絡超代数,q-ワイル群とその応用Principal Investigator
- Principal Investigator
  
  山根宏之
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
力学系における確率現象の解析的研究
- Principal Investigator
  
  盛田健彦
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
量子群の表現の具体的構成とその応用Principal Investigator
- Principal Investigator
  
  山根宏之
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
Representations of Groups, Lie Algebras, and Algebras
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
アインシュタイン多様体の研究
- Principal Investigator
  
  坂根由昌
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University

[Journal Article] Natural elements of center of generalized quantum groups2020
- Author(s)
  Batra Punita、Yamane Hiroyuki
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 751 Pages: 19-31
- DOI
  10.1090/conm/751/15114
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Journal Article] Typical irreducible characters of generalized quantum groups2020
- Author(s)
  Yamane Hiroyuki
- Journal Title
  
  Journal of Algebra and Its Applications
  
  Volume: 20 Pages: 2140014-2140014
- DOI
  10.1142/s0219498821400144
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03420
[Journal Article] Kostant-Lusztig A -bases of multiparameter quantum groups2018
- Author(s)
  Naihuan Jing, Kailash C. Misra, Hiroyuki Yamane
- Journal Title
  
  Contemp. Math.
  
  Volume: 713 Pages: 149-163
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Journal Article] Centers of generalized quantum groups2018
- Author(s)
  Batra Punita、Yamane Hiroyuki
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 222 Pages: 1203-1241
- DOI
  10.1016/j.jpaa.2017.06.015
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Journal Article] Lowest positive almost central elements of U_q(sl^{(1)}(n|n)) (n\geq 2), U_q(sl^{(2)}(2n|2n)) (n\geq 2) and U_q(sl^{(4)}(2n+1|2n+1)) (n\geq 1) and their multi-parameter quantum affine superalgebras2018
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Proceedins of the Meeting for Study of Number Theory, Hopf Algebras and Related Topics
  
  Volume: 1 Pages: 125-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05095
[Journal Article] Bruhat order and nil-Hecke algebras for Weyl groupoids2017
- Author(s)
  Angiono Ivan、Yamane Hiroyuki
- Journal Title
  
  Journal of Algebra and Its Applications
  
  Volume: 印刷中
- DOI
  10.1142/s0219498818501669
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Journal Article] Generalized root systems and the affine Lie superalgebra ${\mathrm{G}}^{(1)}(3)$2016
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  São Paulo Journal of Mathematical Sciences
  
  Volume: 10 Pages: 9-19
- DOI
  10.1007/s40863-015-0021-5
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400040
[Journal Article] Skew centers of rank-one generalized quantum groups2015
- Author(s)
  Punita Batra, Hiroyuki Yamane
- Journal Title
  
  Toyama Mathematical Journal
  
  Volume: 37 Pages: 189-202
- NAID
  120005750760
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400040
[Journal Article] Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids2015
- Author(s)
  Saeid Azam, Hiroyuki Yamane and Malihe Yousofzadeh
- Journal Title
  
  Publ. Res. Inst. Math. Sci.
  
  Volume: 51 Pages: 59-130
- DOI
  10.4171/prims/149
- NAID
  110009911142
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400040
[Journal Article] The R-matrix of quantum doubles of Nichols algebras of diagonal type2015
- Author(s)
  Ivan Angiono and Hiroyuki Yamane
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 56 Pages: 021702-021702
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400040
[Journal Article] Exposition on classification of finite dimensional irreducible representations of the Lie superalgebra B(m,n)2014
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Journal of Physics: Conference Series
  
  Volume: 563 Pages: 012035-012035
- DOI
  10.1088/1742-6596/563/1/012035
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25400040
[Journal Article] Reflectable bases for affine reflection systems2012
- Author(s)
  S. Azam, H. Yamane, M. Yousofzadeh
- Journal Title
  
  J. Algebra
  
  Volume: 371 Pages: 63-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] An exposition of root systems and Lie algebras (affine and elliptic)2012
- Author(s)
  S. Azam, H. Yamane, M. Yousofzadeh
- Journal Title
  
  RIMS Kokyuroku Bassatsu
  
  Volume: B36 Pages: 17-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] An exposition of root systems and Lie algebras (affine and elliptic)2012
- Author(s)
  Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh
- Journal Title
  
  RIMS Kôkyûroku Bassatsu
  
  Volume: B36 Pages: 17-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] On pointed Hopf superalgebras2011
- Author(s)
  N.Andruskiewitsch, I.Angiono, H.Yamane
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 544 Pages: 123-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] On pointed Hopf superalgebras2011
- Author(s)
  N. Andruskiewitsch, I. Angiono, H. Yamane
- Journal Title
  
  Comtemp. Math
  
  Volume: 544 Pages: 123-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] finite presentation of universal coverings of Lie tori2010
- Author(s)
  S. Azam, H. Yamane, M. Yousafzadeh, A
- Journal Title
  
  Publ. Res. Inst. Math. Sci
  
  Volume: 46、no. 3 Pages: 507-548
- NAID
  110007697234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] Finite presentation of Lie tori2010
- Author(s)
  Saeid Azam, Hiroyuki Yamane, Malihe Yousofzader
- Journal Title
  
  Publ. RIMS, Kyoto Univ. (出版予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Exposition on affine and elliptic ro ot systems and elliptic Lie algebras2010
- Author(s)
  Saeid Azam, Hiroyuki Yamane, Malihe Yousofzader
- Journal Title
  
  to appear in RIMS Kokyuroku Bessatsu
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Finite presentation of Lie tori2010
- Author(s)
  aeid Azam, Hiroyuki Yamane, Malihe Yousofzader
- Journal Title
  
  to appear in Publ. RIMS, Kyoto Univ. 46
  
  Pages: 553-594
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfel'ddoubles and Shapovalov determinants2010
- Author(s)
  I. Heckenberger, H. Yamane
- Journal Title
  
  Rev. Un. Mat. Argentina
  
  Volume: 51、no.2 Pages: 107-146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] Exposition on affine and elliptic root systems and elliptic Lie algebras2010
- Author(s)
  Saeid Azam, Hiroyuki Yamane, Malihe Yousofzader
- Journal Title
  
  RIMS Kokyuroku Bessatsu (出版予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfel'd doubles and Shapovalov determinants2010
- Author(s)
  I.Heckenberger, H.Yamane
- Journal Title
  
  Revista de la on Matematica Argentina
  
  Volume: 51 Pages: 107-146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] A Finite Presentation of Universal Coverings of Lie Tori2010
- Author(s)
  S.Azam, H. Yamane, M.Yousofzader
- Journal Title
  
  Publications of the Research Institute for Mathematical
  
  Volume: 46 Pages: 507-548
- NAID
  110007697234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] Iwahori-Hecke type algebras associated with the Lie superalgebras A (m, n), B (m, n), C (n) and D (m, n)2009
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu B11
  
  Pages: 197-222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Iwahhori-Hecke type algebras associated with the Lie superalgerbas A(m, n), B(m, n), C(n) and D(m, n)2009
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu 11
  
  Pages: 197-222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Iwahori-Hecke type algebras associated with Lie superalgebrasA(m, n), B(m, n), C(n)and D(m, n)2009
- Author(s)
  H. Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu (出版予定) (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] A generalization of Coxeter groups, root systems, and Matsumoto' s theorem2008
- Author(s)
  I. Heckenberger, H. Yamane
- Journal Title
  
  Mathematishe Zeitschrift 259
  
  Pages: 255-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfeld second realization of quantum affine superalgebras of D^{(1)} (2, l ; x)via the Weyl groupoid2008
- Author(s)
  I. Heckenberger, F. Spill, A. Torrielli, H. Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu B8
  
  Pages: 171-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] A generalization of Coxeter groups, root systems, and Matsumoto's theorem2008
- Author(s)
  I. Heckenberger, H. Yamane
- Journal Title
  
  Mathematishe Zeitschrift 259
  
  Pages: 255-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfeld second realization of quantum affine superalgebras of D^{(1)}(2, 1;x) via the Weyl groupoid2008
- Author(s)
  I. Heckenberger, F. Spill, A. Torrielli, H. Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu 8
  
  Pages: 171-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfeld second realization of quantum affine superalgebras of D^<(1)>(2,1;x) via the Weyl groupoid2008
- Author(s)
  I. Heckenberger, F. Spill, A. Torrielli, H. Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu(出版決定) (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Drinfeld second realization of quantum affine superalgebras of D^<(1)>(2, 1 ; x) via the Weyl groupoid2008
- Author(s)
  I. Heckenberger, F. Spill, A. Torrielli, Hiroyuki Yamane
- Journal Title
  
  RIMS Kokyuroku Bessatsu B8
  
  Pages: 171-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] A generalization of Coxeter groups, root systems, and Matsumoto's theorem2008
- Author(s)
  I. Heckenberger, Hiroyuki Yamane
- Journal Title
  
  Mathematishe Zeitschrift vol.259
  
  Pages: 255-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] Representations of a Z/3Z-Quantum Group2007
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 43
  
  Pages: 75-93
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] Representations of a Z/3Z-quantum group2007
- Author(s)
  H. Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 43
  
  Pages: 75-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Representations of a Z/3Z-Quantum Group2007
- Author(s)
  H.Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 43
  
  Pages: 75-93
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] Representations of a Z/3Z-quantum group2007
- Author(s)
  山根宏之
- Journal Title
  
  Publications of RIMS, Kyoto University 43
  
  Pages: 75-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] A generalization of Coxeter groups, root systems, and Matsumoto's theorem2007
- Author(s)
  I. Heckenberger, H. Yamane
- Journal Title
  
  Mathematische Zeitschrift(電子化済)
  
  Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540027
[Journal Article] Representations of a Z/3Z-Quantum Group2007
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 43
  
  Pages: 75-93
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] Representations of a Z/3Z-quantum group2007
- Author(s)
  H., Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ 43
  
  Pages: 75-93
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Representations of a Z/3Z-Quantum Group2007
- Author(s)
  H.Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 43
  
  Pages: 75-93
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] Representations of a Z/3Z-Quantum Group2007
- Author(s)
  山根宏之
- Journal Title
  
  Publications of RIMS, Kyoto University 43
  
  Pages: 75-93
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] Representations of a Z/3Z-quantum group2007
- Author(s)
  H. Yamane
- Journal Title
  
  Pub1. RIMS, Kyoto Univ. 43
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Representations of a Z/3Z-quantum group2007
- Author(s)
  H. Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank ≧22004
- Author(s)
  H.Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  130003585560
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank ≧2,2004
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  130003585560
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank 322004
- Author(s)
  山根宏之
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 402
  
  Pages: 441-469
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank 22004
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  130003585560
- Data Source
  KAKENHI-PROJECT-16634001
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank 22004
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  130003585560
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank $geq$22004
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  110001050913
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank【greater than or equal】22004
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS.Kyoto Univ. 40
  
  Pages: 441-469
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank $geq$ 22004
- Author(s)
  H.Yamane
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 40
  
  Pages: 441-469
- NAID
  110001050913
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank => 22004
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS.Kyoto University 40
  
  Pages: 441-469
- NAID
  130003585560
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13831007
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank => 22004
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS, Kyoto University 40
  
  Pages: 441-469
- NAID
  130003585560
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13831007
[Journal Article] A Serre-type theorem for the elliptic Lie algebras with rank【greater than or equal】22004
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS.Kyoto University 40
  
  Pages: 441-469
- Data Source
  KAKENHI-PROJECT-13831007
[Journal Article] A central extension of $Usb q{rm sl} (2vert 2)sp {(1)}$ and $R$-matrices with a new parameter2003
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Journal of Mathematical Physics 44
  
  Pages: 5450-5455
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13831007
[Journal Article] A central extension of $Usb_q{rm sl}(2vert 2)sp{(1)}$ and $R$-matrices with a new parameter2003
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Journal of Mathematical Physicas 44
  
  Pages: 5450-5455
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13831007
[Journal Article] Representations of a Z/3Z-Quantum groups
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS Kyoto Univ. (掲載決定)
- Data Source
  KAKENHI-PROJECT-17340046
[Journal Article] Representations of a Z/3Z Quantum Group
- Author(s)
  Hiroyuki Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. (to appear)
- Data Source
  KAKENHI-PROJECT-16540192
[Journal Article] On pointed Hopf superalgebras
- Author(s)
  N.Andruskiewitsch, I.Angiono, H.Yamane
- Journal Title
  
  Contemporary Mathematics
  
  Volume: (出版予定、受理済未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540020
[Journal Article] Representations of a Z/3Z-Quantum Group
- Author(s)
  H.Yamane
- Journal Title
  
  Publ.RIMS, Kyoto Univ. (To appear)
- Data Source
  KAKENHI-PROJECT-16540026
[Presentation] Representation theory of generalized quantum algebras using Weyl groupoids2021
- Author(s)
  山根　宏之
- Organizer
  RIMS研究集会「組合せ論的表現論および関連分野との連携」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] On typical irreducible character formulas of generalized quantum groups2021
- Author(s)
  Hiroyuki Yamane
- Organizer
  2021年度研究集会「代数的Lie理論および表現論」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] ワイル亜群のケーレーグラフのハミルトン閉路2021
- Author(s)
  山根　宏之
- Organizer
  第 36 回リー代数サマーセミナー (onlne)
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] 一般化された量子群のワイル亜群のケイリーグラフのハミルトン閉路2021
- Author(s)
  山根　宏之
- Organizer
  日本数学会2021年度秋季総合分科会　無限可積分系
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] 一般化された量子群の典型的既約指標につい2020
- Author(s)
  山根宏之
- Organizer
  2020 日本数学会　年会
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] 一般化された量子群の典型的既約指標について2020
- Author(s)
  山根宏之
- Organizer
  2020 日本数学会年会
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Set theoretic Weyl groupoids and generalized quantum groups2019
- Author(s)
  Hiroyuki Yamane
- Organizer
  Hopf-Algebra Conference in Tsukuba 2019; H-ACT2019 (筑波大学自然学系棟, 2019.3.25-27)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] 一般化された量子群の典型的既約指標2019
- Author(s)
  山根宏之
- Organizer
  第１回岩手代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Typical character for the generalized quantum groups2019
- Author(s)
  山根宏之
- Organizer
  The 2nd Meeting for Study of Number theory, Hopf algebras and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] Skew centerss and generaized quantum groups with Kharchenko PBW Theorem2019
- Author(s)
  山根宏之
- Organizer
  The International Conference on Lie Theory and Representations 2019 (Department of Mathematics, Shanghai University,China)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] ワイル亜群について2019
- Author(s)
  山根宏之
- Organizer
  第３５回リー代数サマーセミナー
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] Typical character for the generalized quantum groups2019
- Author(s)
  山根宏之
- Organizer
  The 2nd Meeting for Study of Number theory, Hopf algebras and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized quantum groups with Kharchenko PBW theorem2019
- Author(s)
  山根宏之
- Organizer
  Algebraic Lie Theory and Representation Theory (ALTReT2019)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] ワイル亜群について2019
- Author(s)
  山根宏之
- Organizer
  第３５回リー代数サマーセミナー
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] 一般化された量子群の典型的既約指標2019
- Author(s)
  山根宏之
- Organizer
  第１回岩手代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03420
[Presentation] Generalized quantum groups with Kharchenko PBW theorem2019
- Author(s)
  山根宏之
- Organizer
  2019年度研究集会「Algebraic Lie Theory and Representation Theory (ALTReT2019)」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Skew centerss and generaized quantum groups with Kharchenko PBW theorem2019
- Author(s)
  山根宏之
- Organizer
  The International Conference on Lie Theory and Representations 2019 (Department of Mathematics, Shanghai University,China)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Weyl groupoids and generalized quantum groups with Kharchenko PBW theorem2019
- Author(s)
  Hiroyuki Yamane
- Organizer
  Crystals and Their Generalizations(大阪市立大学　数学研究所, 2019.3.25-29)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized quantum groups and their representations2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Quantum 60 Colloquium on Algebras and Representations (Argentina, 2018.12.10-14)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Representation theory using Coxeter groupoids2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Workshop on Mathematical Physics, August 10-13, 2018, São Paulo, Brazil, ICTP-SAIFR/IFT-UNESP
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Strict Lusztig isomorphisms af Generalized quantum groups2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Meeting of crystal basis and quantum algebras and superalgebras (富山大学理学部, 2018.11.14)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized quantum groups, quantum superalgebras and Coxeter groupoids2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  立教大学数理物理学研究センター臨時セミナー, 2018.9.19
- Invited
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Study of Generalized quantum groups with Coxeter groupoids2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Shanghai University Department of Mathematics Seminar no. 1659, 2018.6.12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized quantum groups and Coxeter groupoids2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  The Joint International Meeting of CMS-AMS,2018.06.11-14, Fudan University, Shanghai, China, Special Session of Quantum Algebras and Related Topics, (SS25) Meting no. 1140
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Bruhat order of Weyl groupoids2018
- Author(s)
  山根宏之, Ivan Angiono
- Organizer
  日本数学会２０１８年度年会一般講演
- Invited
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Graphs of Weyl groupoids2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  リー代数特別ゼミ（つくば市文科省研究交流センター, 2018.5.18）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Weyl groupoids and Cayley graphs2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Meeting of number theory, ring theory, Hopf algebra theory and related topics (富山高等専門学校本郷キャンパス, 2019.2.22-23)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Minimum positive cenral elements of quantum superalgebras U_qsl^{(t)}(n|n), (t=1,2,4)2018
- Author(s)
  Hiroyuki Yamane
- Organizer
  Algebraic Lie Theory and Representation Theory (ALTReT2018, 上智大学セミナーハウス（軽井沢） 2018.5.25-28)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Center of generalized quantum groups via Weyl groupoids2018
- Author(s)
  Hiroyuki Yamane, Pumita Batra
- Organizer
  Short communications (2018.8.6), ICM 2018 Rio de Janeiro
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] アフィン量子超代数$U_q(sl^{(1)}(N|N))$, $U_q(sl^{(2)}(N|N))$, $U_q(sl^{(4)}(N|N))$について2017
- Author(s)
  山根宏之
- Organizer
  福井大学工学部談話会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized root systems and generalized quantum groups2017
- Author(s)
  Hiroyuki Yamane
- Organizer
  2017 年度RIMS 研究集会「表現論と組合せ論」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Coxeter groupoids and their applications2017
- Author(s)
  Hiroyuki Yamane
- Organizer
  Algebra Seminar of Faculty of Mathematics and Natural sciences, Institut Teknologi Bandung, Indonesia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Conjugacy Theorem of the root bases of an affine root system2017
- Author(s)
  Hiroyuki Yamane
- Organizer
  第33回リー代数サマーセミナー（筑波大学）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Weyl group orbits of root bases of an affine root system2017
- Author(s)
  山根宏之
- Organizer
  岩手大学教育学部代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Representations of generalized quantum groups2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  1124th AMS Meeting, November 12-13, 2016, Special Session on Representation of Lie Algebras, Quantum Groups and Related Topics, III
- Place of Presentation
  North Carolina State University, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Multiplicities of imaginably roots of elliptic Lie algebras2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  Workshop on Lie Theory, Quantum Groups and Tensor Categories
- Place of Presentation
  Math Building, Hall 401, East China Normal University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized root systems and Representation theorem of Generalized quantum groups2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  Infinite Dimensional Lie Superalgebras and Their Representations, May 26-19, 2016
- Place of Presentation
  IPM-Isfahan Branch, Universityof Isfahan, Isfahan, Iran
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Nichols Topology2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  H-ACT 2016 Hopf Algebras Conference in Tsukuba, September 11-13, 2016
- Place of Presentation
  Tsukuba International Congress Center
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Weyl groupoids and representation theory of generalized quantum groups2016
- Author(s)
  山根宏之
- Organizer
  日本数学会2016年度年会　特別講演　無限可積分系
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Generalized root systems and representation theory2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  ECNU 2016 Graduate Summer School (August 22-31, 2016)
- Place of Presentation
  Math Building, Hall 401, East China Normal University
- Year and Date
  2016-08-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Representation theory of Nichols-diagonal-type generalized quantum groups2016
- Author(s)
  Hiroyuki Yamane
- Organizer
  International Workshop on Hopf Algebras and Tensor Categories, September 5-9, 2006
- Place of Presentation
  Chern Institute of Mathematics, Tianjin, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05095
[Presentation] Generalized quantum groups and their representation theory2015
- Author(s)
  山根宏之
- Organizer
  Algebraic Lie Theory and Representation Theory 2015
- Place of Presentation
  岡山いこいの村
- Year and Date
  2015-06-05
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Coxeter groups and Weyl groupoids2015
- Author(s)
  Hiroyuki Yamane
- Organizer
  IPM-Isfahan workshop on Coxeter groups and Weyl groupoids
- Place of Presentation
  IPM-Isfahan Branch, Isfahan, Iran
- Year and Date
  2015-06-13
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Generalized Quantum Groups and Weyl groupoids2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  International Conference on Integrable Systems and Quantum symmetries (ISQS)
- Place of Presentation
  Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague Czech
- Year and Date
  2014-06-25
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Harish-Chandra-type theorem of generalized quantum groups2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  第10回駒場幾何学的表現論と量子可積分系のセミナー
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-05-10
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Application of Weyl groupoids to Representation theory2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  Mini-workshop on Hopf algebras and representation theory
- Place of Presentation
  West Building 108, Department of Mathematics, Nanjing University, China
- Year and Date
  2014-12-28
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Centers of generalized quantum groups2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  TSUKUBA WORKSHOP ON INFINITE-DIMENSIONAL LIE THEORY
- Place of Presentation
  筑波大学数学教室
- Year and Date
  2014-10-22
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Finite dimensional irreducible representations of generalized quantum groups and Weyl groupoids2014
- Author(s)
  Hiroyuki Yamane, Saeid.Azam and Malihe Yousofzadeh)
- Organizer
  International Congress of Mathematicians, Short communications(Oral Presentation)
- Place of Presentation
  Coex , Seoul , Korea
- Year and Date
  2014-08-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Representation theory of generalized quantum groups via Weyl groupoids2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  MINI WORKSHOP 2014 : Search for Classical Analysis and Quantum Integrable Systems
- Place of Presentation
  Graduate School of Informatics, Kyoto University
- Year and Date
  2014-11-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Representation theory of generalized quantum groups2014
- Author(s)
  Hiroyuki Yamane
- Organizer
  Conference on “Infinite Dimensional Lie Theory and its Applications” (In Honor of S. E. Rao's 60th Birthday)
- Place of Presentation
  Harish-Chandra Research Institute, Allahabad,India
- Year and Date
  2014-12-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Harish-Chandra theorem of generalized quantum groups2013
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research Institute Mathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2013-01-01
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Exposition on root systems and Lie algebras (affine and elliptic)2013
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research Institute Mathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2013-01-03
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] 一般化された量子群のハリス・チャンドラ型定理2012
- Author(s)
  山根宏之
- Organizer
  筑波大学数学教室代数特別セミナー
- Place of Presentation
  筑波大学数学教室
- Year and Date
  2012-08-27
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] ワイル亜群と一般化された量子群の表現論2012
- Author(s)
  山根宏之
- Organizer
  2012年度表現論シンポジウム
- Place of Presentation
  鹿児島県鹿児島市マリンパレスかごしま
- Year and Date
  2012-12-05
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Harish-Chandra theorem of Drinfeld doubles2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Oberwolfach 1240a Mini-Workshop: Nichols Algebras and Weyl Groupoids
- Place of Presentation
  Oberwolfach研究所, Germany
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Harish-Chandra type theorem of generalized quantum groups2012
- Author(s)
  山根宏之
- Organizer
  RIMS研究集会ホップ代数と量子群-応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-09-04
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Mathematica によるスーパー量子群の計算について2012
- Author(s)
  山根宏之
- Organizer
  筑波大学数学教室代数特別セミナー
- Place of Presentation
  筑波大学数学教室
- Year and Date
  2012-02-20
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Shapovalov determinants via Weyl groupoids2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research Institute Mathematics Seminar
- Place of Presentation
  インドアラハバードHarish-Chandra Research Institute
- Year and Date
  2012-12-26
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Quantum superalgebras and Mathematica, Affine quantum superlagebras and Mathematica2012
- Author(s)
  山根宏之
- Organizer
  第15回代数群と量子群の表現論研究集会
- Place of Presentation
  長野県長野市いこいの村アゼィリア飯綱
- Year and Date
  2012-05-22
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] コクセター半群と表現論2012
- Author(s)
  山根宏之
- Organizer
  富山大学理学部数学教室談話会
- Year and Date
  2012-12-20
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Irreducible representations of generalized quantum groups2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research Institute Mathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2012-01-04
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Harish-Chandra theorem of Drinfeld doubles2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Oberwolfach 1240a Mini-Workshop(招待講演)
- Place of Presentation
  ドイツ国Oberwolfach数学研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Harish-Chandra map of generalized quantum groups2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research InstituteMathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2012-01-02
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Nichols topology inside Zariskii topology2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research Institute Mathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2012-12-28
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] アフィン・ルート系の基の存在定理について2012
- Author(s)
  山根宏之
- Organizer
  第28回リー代数サマーセミナー
- Place of Presentation
  山口大学
- Year and Date
  2012-08-25
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Quantum superalgebras and Mathematica2012
- Author(s)
  Hiroyuki Yamane
- Organizer
  Marburg 大学数学教室特別セミナー
- Place of Presentation
  ドイツマールブルク大学数学教室
- Year and Date
  2012-03-14
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Representation Theory with Weyl Groupoids2011
- Author(s)
  Hiroyuki Yamane
- Organizer
  International Workshop and Conference on Infinte Dimensional Lie Theory and Its Applications
- Place of Presentation
  数物研究所, Tehran Iran
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Shapovalov dereminants via Weyl groupoids II2011
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research InstituteMathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2011-12-30
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Representation theory with Weyl groupoids2011
- Author(s)
  山根宏之
- Organizer
  国際数学会議「無限次元リー理諭とその応用(テヘランIPM、2011年5月10-17日)」
- Place of Presentation
  テヘラン、イラン(招待講演)
- Year and Date
  2011-05-16
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Drinfeld elements of quantum affine superalgebras2011
- Author(s)
  山根宏之
- Organizer
  広島数理物理セミナー
- Place of Presentation
  広島大学
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Dinkyn diagrams of simple Lie superalgebras and Weyl groupoids2011
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research InstituteMathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2011-11-26
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Shapovalov determinants via Weyl groupoids2011
- Author(s)
  Hiroyuki Yamane
- Organizer
  Harish-Chandra Research InstituteMathematics Seminar
- Place of Presentation
  インドアラハバード Harish-Chandra Research Institute
- Year and Date
  2011-12-28
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Defining relations of generalized quantum algebras having ABCD-type super root systems2011
- Author(s)
  N. Andruskiewitsch, I. Angiono, H. Yamane
- Organizer
  2011年日本数学会春季年会無限可積分系セッション
- Place of Presentation
  早稲田大学理工学術院
- Year and Date
  2011-03-23
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Irreducible modules and longest elements of Weyl groupoids2011
- Author(s)
  Hiroyuki Yamane
- Organizer
  Cordoba大学数学教室Lie理論セミナー
- Place of Presentation
  アルゼンチンコルドバ大学数学教室
- Year and Date
  2011-09-13
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Null root multiplicities of elliptic Lie algebras2010
- Author(s)
  山根宏之
- Organizer
  2010年度日本数学会秋季総合分科会無限化積分系セッション
- Place of Presentation
  名古屋大学(愛知県)
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Weyl groupoids applied to representation theory2010
- Author(s)
  山根宏之
- Organizer
  RIMS研究集会量子群と量子トポロジー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-04-19
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] A finite presentation of universal covering of Lie tori2010
- Author(s)
  山根宏之
- Organizer
  2010年度日本数学会秋季総合分科会無限化積分系セッション
- Place of Presentation
  名古屋大学(愛知県)
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Longest elements of Weyl groupoids and finite dimensionalrepresentations2010
- Author(s)
  山根宏之
- Organizer
  第13回代数群と量子群の表現論
- Place of Presentation
  愛知県江南市すいとぴあ江南
- Year and Date
  2010-06-05
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Longest elements of Weyl groupoids and finite dimensional representations2010
- Author(s)
  山根宏之
- Organizer
  研究集会「第13回代数群と量子群の表現論研究集会」
- Place of Presentation
  すいとぴあ江南(愛知県)
- Year and Date
  2010-06-05
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Preliminary to Harish-Chandra theorem of Drinfeld doubles2010
- Author(s)
  山根宏之
- Organizer
  研究集会「ホップ代数と量子群」
- Place of Presentation
  筑波大学(茨城県)
- Year and Date
  2010-10-19
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Preliminary to Harish-Chandra theorem of Drinfeld doubles2010
- Author(s)
  山根宏之
- Organizer
  研究集会ホップ代数と量子群
- Place of Presentation
  筑波大学数学教室
- Year and Date
  2010-10-19
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Weyl groupoids applied to representation theory2010
- Author(s)
  山根宏之
- Organizer
  研究集会「量子群と量子トポロジー」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2010-04-19
- Data Source
  KAKENHI-PROJECT-22540020
[Presentation] Recent progress on Drinfeld doubles and BDFG-type Lie tori2009
- Author(s)
  Hiroyuki Yamane
- Organizer
  Colloquim on Hopf Algebras, Quantum Groups and Tensor Categories (La Plada, Sierras de Cordoba, Argentina, August 31st to September 4th, 2009)
- Place of Presentation
  アルゼンチン、コルドバ
- Year and Date
  2009-08-31
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Recent progress on Drinfeld doubles and BDFG-type Lie tori2009
- Author(s)
  Hiroyuki Yamane
- Organizer
  アルゼンチン、コルドバColloquim on Hopf Algebras, Quantum Groups and Tensor Categories
- Place of Presentation
  La Plada, Sierras de Cordoba, Argentina
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Heckenberger' s Lusztig-type isomorphisms and Shapovalov determinants of quantum doubles of finite type2008
- Author(s)
  山根宏之
- Organizer
  大阪市立大学「代数セミナー」
- Place of Presentation
  大阪市立大学
- Year and Date
  2008-11-11
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Shapovalov determinants of Drinfel'd double2008
- Author(s)
  山根宏之
- Organizer
  京都大学数理解析研究所共同利用研究事業「組合せ論的表現論の拡がり」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-10
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Calculation of the multiplicity of the null roots of elliptic Lie algebras2008
- Author(s)
  H. Yamane
- Organizer
  イラン・イスラム共和国アラク大学数学教室ワークショップ「拡大アフィン・リー代数についての研究集会」
- Place of Presentation
  イラン・イスラム共和国アラク大学数学教室
- Year and Date
  2008-12-30
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Shapovalov determinants of Drinfeld double of bosonaizations of Nichols algebras of diagonal type2008
- Author(s)
  H. Yamane
- Organizer
  アルゼンチン、コルドバ大学数学教室「リー理論セミナー」
- Place of Presentation
  アルゼンチン、コルドバ大学数学教室
- Year and Date
  2008-09-15
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] New proof of Matsumoto theorem of Coxeter groups2008
- Author(s)
  H. Yamane
- Organizer
  イラン・イスラム共和国コム大学数学教室「談話会」
- Place of Presentation
  イラン・イスラム共和国コム大学数学教室
- Year and Date
  2008-12-29
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] On Coxeter groupoids and their Iwahori-Hecke type algebras2008
- Author(s)
  H. Yamane
- Organizer
  ミュンヘン大学数学教室「Oberseminar--Hopfalgebras」
- Place of Presentation
  ミュンヘン大学数学教室
- Year and Date
  2008-05-29
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Shapovalov determinants of (generalized) quantum groups at roots of 12008
- Author(s)
  H. Yamane
- Organizer
  イラン・イスラム共和国イスファハン大学数学教室「談話会」
- Place of Presentation
  イラン・イスラム共和国イスファハン大学数学教室
- Year and Date
  2008-12-27
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Weyl groupoids and quantum groups assciated to Nichols algebras of diagonal type2008
- Author(s)
  H. Yamane
- Organizer
  アルゼンチン数学会年会「ホップ代数セッション」
- Place of Presentation
  アルゼンチン、メンドーザ
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-19540027
[Presentation] Skew center of a generalized quantized algebra
- Author(s)
  山根宏之
- Organizer
  アルゼンチン・コルドバ大学リー理論セミナー
- Place of Presentation
  アルゼンチン・コルドバ大学数学教室
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Irreducible representaions of generalized quantized algebras
- Author(s)
  山根宏之
- Organizer
  ２０１４年度日本数学会春季年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] Universal R-matrix of a generalized quantum group
- Author(s)
  山根宏之
- Organizer
  第16回代数群と量子群の表現論（RAQ2013)
- Place of Presentation
  強羅青雲荘
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] コクセター亜群の松本の定理と一般化された量子群のシャポバロフ行列式
- Author(s)
  山根宏之
- Organizer
  慶應大学・微分幾何・トポロジーセミナー
- Place of Presentation
  慶應義塾大学理工学部　14棟631A
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] コクセター亜群と表現論
- Author(s)
  山根宏之
- Organizer
  岐阜大学工学部数学教室セミナー
- Place of Presentation
  岐阜大学工学部
- Data Source
  KAKENHI-PROJECT-25400040
[Presentation] 一般化された量子群の中心
- Author(s)
  山根宏之
- Organizer
  大阪市立大学数学研究所代数セミナー
- Place of Presentation
  大阪市立大学数学研究所
- Data Source
  KAKENHI-PROJECT-25400040

1. NAGATOMO Kiyokazu (90172543)

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2. KAWANAKA Noriaki (10028219)

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Yamane Hiroyuki 山根 宏之

YAMANE Hiroyuki 山根 宏之

Research Projects

Research Products

Co-Researchers

Study of generalized quantum groups by using Weyl groupoidsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Weyl groupoids, generalized quantum groups, and related graph theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of generalized quantum groups, Coxeter groupoids and related topicsPrincipal Investigator

Principal Investigator

Project Period (FY)

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On representation theory of generalized quantum groups and algebras related to themPrincipal Investigator

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Development of a universal representation theory of generalized quantum enveloping algebras with structures of Coxeter groupoidsPrincipal Investigator

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Generalized quantum groups, including super and elliptic ones, and Weyl groupoidsPrincipal Investigator

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Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theoriesPrincipal Investigator

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Yamane Hiroyuki 山根宏之

YAMANE Hiroyuki 山根宏之