Shibukawa Youichi 澁川陽一

… Alternative Names

SHIBUKAWA Youichi 澁川陽一

渋川陽一シブカワヨウイチ

SGIBUKAWA Youichi 渋川陽一

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Researcher Number	90241299
Other IDs
External Links
Affiliation (Current)	2025: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 北海道大学, 理学研究院, 准教授 2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 准教授 2009 – 2012: Hokkaido University, 大学院・理学研究院, 准教授 2007 – 2008: Hokkaido University, 大学院・理学研究院, 助教 1995 – 2005: 北海道大学, 大学院・理学研究科, 助手 … More 2001: Hokkaido University, Faculty of Science, Assistant, 大学院・数学研究科, 助手 1999: 北海道大学, 大学院・理学研究科・理学部, 助手 1998: 北海道大学, 大学院理学研究科, 助手 1993 – 1994: 北海道大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Geometry / Basic analysis / Algebra / Basic analysis / Geometry
Keywords	Principal Investigator ダイナミカル・ヤン・バクスター写像 / ヤン・バクスター方程式 / 量子代数 / 反射方程式 / vertex-face対応 / 楕円型R作用素 / ホップ亜代数 / テンソル圏 / 双亜代数 / L作用素 … More / R作用素 / ガーサイド理論 / 商圏 / 数理物理 / 代数学 / 左双亜代数 / 右双亜代数 / 可換作用素 / カンドル / 面代数 / 等質空間 / ブレイテッド・モノイド / 双対 / リジッドなテンソル圏 / ダイナミカル表現 / ダイナミカルヤンバラスター写像 / sl(m\|n) / ボルツマン・ウェイト / loop / quasigroup / Vertex-Face対応 / 楕円関数 / Calogero / Bruschi / Ruijsenaars / 微分方程式 / 加法定理 / 有限次元解 / 作用素 / BelavinのR行列 / factorized L-operator / intertwining vector / Vertex-IRF対応 / R行列 … More Except Principal Investigator 等方表現 / 離散系列表現 / 半単純リー群 / ジョンソン準同型 / マグナス展開 / モジュライ空間 / 写像類群 / リーマン面 / 不変微分作用素 / 微分作用素環 / mapping class group / Magnus expansion / moduli space / Riemann surface / 超楕円的写像類群 / Lie algebra / リー環 / 超幾何系 / シューア函数 / アフィンリー環 / discrete series / nilpotent orbit / Harish-Chandra module / semisimple Lie group / 四元数型対称空間 / 随伴多様体 / 離散系列 / テータ対応 / 冪零軌道 / ユニタリ表現 / 森田マンフォード類 / ヴェイユ表現 / Johnson homomorphism / automorphism group of a free group / Stasheff associahedron / Morita-Mumford class / 森田マシフォード類 / 積分周期 / 擬等角変形 / 調和積分論 / スタシェフのアソシアヘドロン / マグナス表現 / 自由群の自己同型群 / スタシェフ結合多面体 / dimension formula / classification / toric variety / hypergeometric / 階数公式 / 次元公式 / 分類 / トーリック多様体 / 超幾何 / invariant differential operator / isotropy representation / unitary highest weight module / quaternionic symmetric space / 随伴サイクル / 無限次元表現 / ユニタリ最高ウェイト加群 / べき零共役類 / ハリシュ・チャンドラ加群 / hyperelliptic mapping class group / Bruschi-Calogero equation / surface symmetry / Morita-Mumford classes / 楕円函数 / 森田・マニフォード類 / ブルスキ・カロジェロ方程式 / 曲面の対称性 / 森田・マンフォード類 / Young Diagrams / Schur Functions / Symmetric Groups / Affine Lie Alqebras / 指標 / ヤング図形 / 対称群 / アフィン・リー環 / Weyl algebra / Grobner basis / holonomic system / hypergeometric system / ワイル代数 / グレブナー基底 / ホロノミック系 / complex reflection groups / decomposition matrices / Schur functions / affine Lie algebras / ウエイトベクトル / シューア函教 / 複素鏡映群 / 分解行列 / highest weight representation / generalized Whittaker model / multiplicity / differential operator of gradient type / Harish-Chandara加群 / エルミート対称空間 / 一般化されたWhittaker模型 / Borel de-Siebenthal離数系列 / 最高ウェイト表現 / 一般化Whittaker模型 / 重複度 / 勾配型微分作用素 / べき零軌道 / Harish-Chandra加群 / コホモロジー誘導表現 / 四元数型表現 / 特異ユニタリ表現 / 簡約リー群 / 量子化 / リー群 / 不変量 / Whittakerベクトル / 表現の分岐 / 双対性 / 実調和解析 / 一般Whittaker模型 / 調和解析 / 微分方程式系 / 旗多様体 / Whittaker模型 / Howe双対性 / 幾何学的不変量 / 複素解析ベクトル場 / 複素解析的ベクトル場 / ファットグラフ / ゲルファント・フクス・コホモロジー / 複素解析葉層 / 位相幾何学 / ストリング・トポロジー / 形式的シンプレクティック幾何 / ピカール・レフシェッツ公式 / デーン・ツイスト / 非可換ピカール・レフシェッツ公式 / ゴールドマン・リー代数 / アラケロフ・グリーン函数 / カペリ恒等式 / エルミート型 / ヴェイユ型表現 / ハリシュ-チャンドラ加群 / 普遍包絡代数 / ヤン・バクスター方程式 / 不変式論 / ディラク作用素 / 既約表現 / 無限次元リー代数 / モジュラー束 / Betti数列 / グレブナ-基底 / Ehrhart多項式 / Cohen-Macaulay環 / Stanley-Reisner環 / 単体的複体 / 凸多面体 Less

ダイナミカル・リフレクション写像と関連する代数の研究Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Hokkaido University
Morita equivalence for two algebras associated with dynamical Yang-Baxter mapsPrincipal Investigator
- Principal Investigator
  
  SHIBUKAWA Youichi
- Project Period (FY)
  2017 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Study of solutions to the reflection equation associated with dynamical Yang-Baxter mapsPrincipal Investigator
- Principal Investigator
  
  SHIBUKAWA Youichi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Dynamical Yang-Baxter maps and Hopf algebroidsPrincipal Investigator
- Principal Investigator
  
  SHIBUKAWA Youichi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Geometric invariants and model theory for singular unitary representations
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Studies of algebro-geometric aspects on dynamical Yang-Baxter mapsPrincipal Investigator
- Principal Investigator
  
  SHIBUKAWA Youichi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Topological Studies around Riemann Surfaces
- Principal Investigator
  
  KAWAZUMI Nariya
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Modern study on homogeneous spaces and unitary representations via duality
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Vertex-Face対応と量子代数の構成Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
無限次元リー群およびリー代数に対する表現論の新たな展開
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Complex analytic approach towards topology studies on the mapping class ganups for surfaces
- Principal Investigator
  
  KAWAZUMI Nariya
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Infinite dimensional quaternionic representations and nilpotent orbits
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  HOKKAIDO UNIVERSITY
Classification problem of hypergeometric differential systems
- Principal Investigator
  
  SAITO Mutsumi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  HOKKAIDO UNIVERSITY
Combinatorial Representation Theory of Affine Lie Alqebras and Symmetric Groups
- Principal Investigator
  
  YAMADA Hiro-fumi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
  Hokkaido University
A topological study of the moduli space of Riemann surface
- Principal Investigator
  
  KAWAZUMI Nariya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
2つのヤン・バクスター方程式の楕円関数解と楕円的量子群Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Algebro-analytic and/or representation-theoretic study of hypergeometric differential systems
- Principal Investigator
  
  SAITO Mutsumi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  HOKKAIDO UNIVERSITY
Differential operators of gradient type on symmetric spaces and representations of Lie algebras
- Principal Investigator
  
  YAMASHITA Hiroshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Combinatorial aspects of representations of groups and algebras
- Principal Investigator
  
  YAMADA Hirofumi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
量子代数とその表現論Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
ヤン・バクスター方程式の楕円型解とそれに付随する代数の表現Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
量子代数とその表現論Principal Investigator
- Principal Investigator
  
  渋川陽一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
単体的複体と凸多面体の離散構造の代数的諸相
- Principal Investigator
  
  日比孝之
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
ヤンバクスター方程式と量子代数Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
コンプリ-トリ-でシンメトリックなRマトリックスに付随した量子代数とその表現Principal Investigator
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University

All 2023 2021 2018 2017 2016 2015 2014 2013 2010 2009 2008 2007 2005 2004

All Journal Article Presentation

[Journal Article] Dynamical reflection maps2023
- Author(s)
  Ryosuke Ashikaga and Youichi Shibukawa
- Journal Title
  
  Toyama Mathematical Journal
  
  Volume: 44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05187
[Journal Article] FRT construction for dynamical Yang-Baxter maps2010
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Algebra 323
  
  Pages: 1698-1728
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204008
[Journal Article] Mitsuhiro Takeuchi, FRT construction for dynamical Yang-Baxter maps2010
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Algebra 323
  
  Pages: 1698-1728
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540001
[Journal Article] FRT construction for dynamical Yang-Baxter maps2010
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Algebra 323
  
  Pages: 1698-1728
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540001
[Journal Article] ダイナミカル・ヤン・バクスター写像2009
- Author(s)
  澁川陽一
- Journal Title
  
  数理解析研究所講究録 1647
  
  Pages: 81-96
- Data Source
  KAKENHI-PROJECT-19540001
[Journal Article] ダイナミカル・ヤン・バクスター写像2009
- Author(s)
  澁川陽一
- Journal Title
  
  京都大学数理解析研究所講究録 1647
  
  Pages: 81-96
- Data Source
  KAKENHI-PROJECT-19540001
[Journal Article] Dynamical Yang-Baxter maps with an invariance condition2007
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences, Kyoto University 43
  
  Pages: 1157-1182
- NAID
  110006477215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204008
[Journal Article] Dynamical Yang-Baxter maps with an invariance condition2007
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences 43
  
  Pages: 1157-1182
- NAID
  110006477215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204008
[Journal Article] Dynamical Yang-Baxter Maps2005
- Author(s)
  Youich Shibukawa
- Journal Title
  
  International Mathematics Research Notices 36
  
  Pages: 2199-2221
- NAID
  120000960066
- Data Source
  KAKENHI-PROJECT-15740001
[Journal Article] Vertex-face correspondence of Boltzmann weights related to sl(m/n)2004
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Physics. A. Mathematical and General 37・6
  
  Pages: 2115-2120
- Data Source
  KAKENHI-PROJECT-14654001
[Journal Article] Vertex-face correspondence of Boltzmann weights related to sl(m|n)2004
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Physics A : Mathematical and General 37
  
  Pages: 2115-2120
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540065
[Journal Article] Vertex-face correspondence of Boltzmann weights related to sl(m|n)2004
- Author(s)
  Youichi Shibukawa
- Journal Title
  
  Journal of Physics A 37
  
  Pages: 2115-2120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540065
[Presentation] ホップ亜代数のFRT構成法2021
- Author(s)
  澁川陽一，乙戸勇大
- Organizer
  2021日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05187
[Presentation] ヤン・バクスター方程式からホップ亜代数へ2018
- Author(s)
  澁川陽一
- Organizer
  第63回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05187
[Presentation] ダイナミカル・ヤン・バクスター写像とカンドル2017
- Author(s)
  澁川陽一
- Organizer
  Meeting for Study of Number theory, Hopf algebras and related topics
- Place of Presentation
  富山大学理学部（富山県・富山市）
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] Construction of Hopf algebroids by means of parallelepipeds2016
- Author(s)
  Youichi Shibukawa
- Organizer
  Hopf-Algebra Conference in Tsukuba
- Place of Presentation
  つくば国際会議場（茨城県・つくば市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] ダイナミカル・ヤン・バクスター写像を用いたホップ亜代数の構成2015
- Author(s)
  澁川陽一
- Organizer
  東京無限可積分系セミナー
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2015-01-22
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] Hopf algebroids and dynamical Yang-Baxter maps2015
- Author(s)
  Youichi Shibukawa
- Organizer
  Tsukuba Mini-conference on Hopf algebras and differential Galois theory
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2015-09-14
- Invited
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] Hopf algebroids associated with dynamical Yang-Baxter maps2014
- Author(s)
  澁川陽一
- Organizer
  日本数学会2014年度秋季総合分科会
- Place of Presentation
  広島大学（広島県東広島市）
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] Rigid tensor categories associated with dynamical Yang-Baxter maps2014
- Author(s)
  澁川陽一
- Organizer
  日本数学会2014年度秋季総合分科会
- Place of Presentation
  広島大学（広島県東広島市）
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400031
[Presentation] Idempotent dynamical braiding maps and dynamical semigroups with left unit2013
- Author(s)
  D.K.Matsumoto,澁川陽一
- Organizer
  日本数学会2013年度年会無限可積分系特別セッション
- Place of Presentation
  京都大学
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-22540001
[Presentation] Idempotent dynamical braiding maps and dynamical semigroups with left unit2013
- Author(s)
  D.K.Matsumoto, 澁川陽一
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学（京都市）
- Data Source
  KAKENHI-PROJECT-22540001
[Presentation] Dynamical Yang-Baxter maps with an invariance condition2008
- Author(s)
  Youichi Shibukawa
- Organizer
  SNU-HU 5th joint Symposium on Mathematics
- Place of Presentation
  韓国・ソウル・ソウル大学校
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps and their dynamical representations2008
- Author(s)
  澁川陽一
- Organizer
  RIMS研究集会「組合せ論的表現論の拡がり」
- Place of Presentation
  京都大学
- Year and Date
  2008-10-09
- Data Source
  KAKENHI-PROJECT-18204008
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps2008
- Author(s)
  澁川陽一
- Organizer
  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
  2008-10-09
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] Bialgebroids related to dynamical Yang-Baxter maps2008
- Author(s)
  Youichi Shibukawa
- Organizer
  Noncommutative Structures-in Mathematics and Physics
- Place of Presentation
  ベルギー・ブリュッセル, Paleis der Academien
- Year and Date
  2008-07-22
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps and their dynamical representations2008
- Author(s)
  澁川陽一
- Organizer
  日本数学会秋季総合分科会無限可積分系セッション
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-18204008
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps2008
- Author(s)
  澁川陽一
- Organizer
  日本数学会(無限可積分系セッション)
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] Bialgebroids related to dynamical Yang-Baxter maps2008
- Author(s)
  Youichi Shibukawa
- Organizer
  Noncommutative Structures in Mathematics and Physics
- Place of Presentation
  Paleis der Academien(ベルギー)
- Year and Date
  2008-07-22
- Data Source
  KAKENHI-PROJECT-18204008
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps and their dynamical representations2008
- Author(s)
  Youichi Shibukawa
- Organizer
  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
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] (H, X)-bialgebroids associated with dynamical Yang-Baxter maps2008
- Author(s)
  Youichi Shibukawa
- Organizer
  日本数学会無限可積分系セッション
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] Bialgebroids related to dynamical Yang-Baxter maps2008
- Author(s)
  Youichi Shibukawa
- Organizer
  Noncommutative Structures in Mathematics and Physics
- Place of Presentation
  ベルギー・ブリュッセル・Paleis der Academien
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] Dynamical Yang-Baxter maps2007
- Author(s)
  Youichi Shibukawa
- Organizer
  Enigma conference on Mathematical Physics
- Place of Presentation
  Royal Institute of Technol-ogy, Stockholm, Sweden
- Year and Date
  2007-06-28
- Data Source
  KAKENHI-PROJECT-19540001
[Presentation] Dynamical Yang-Baxter maps2007
- Author(s)
  Youichi Shibukawa
- Organizer
  Enigma Conference on Mathematical Physics
- Place of Presentation
  スウェーデン・ストックホルム・Royal Institute of Technology
- Data Source
  KAKENHI-PROJECT-19540001

1. SAITO Mutsumi (70215565)

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# of Collaborated Products: 0 results
2. YAMASHITA Hiroshi (30192793)

# of Collaborated Projects: 9 results

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3. YAMADA Hiro-fumi (40192794)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. WACHI Akihito (30337018)

# of Collaborated Projects: 4 results

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5. NISHIYAMA Kyo (70183085)

# of Collaborated Projects: 4 results

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6. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 3 results

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7. MATSUMOTO Yukio (20011637)

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8. MORITA Shigeyuki (70011674)

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9. HASHIMOTO Yoshitake (20271182)

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10. AKITA Toshiyuki (30279252)

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11. YAMAGUCHI Keizo (00113639)

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12. HIRAI Takeshi (70025310)

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13. NAKAJIMA Tatsuhiro (00286006)

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14. OHBA Kiyoshi (80242337)

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15. 日比孝之 (80181113)

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16. ENDO Hisaaki (20323777)

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17. ASUKE Taro (30294515)

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18. TADOKORO Yuuki (10435414)

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19. YOSHIDA Tomoyuki (30002265)

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20. TACHIZAWA Kazuya (80227090)

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21. KAWAZOE Takeshi (90152959)

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22. MATUMOTO Hisayosi (50272597)

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23. TANIGUCHI Kenji (20306492)

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24. MATSUKI Toshihiko (20157283)

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25. SEKIGUCHI Jiro (30117717)

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26. ISHI Hideyuki (00326068)

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27. SHIMENO Nobukazu (60254140)

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28. MORITA Hideaki (90435412)

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29. ABE Noriyuki (00553629)

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30. TERAO Hiroaki (90119058)

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31. 田口雄一郎 (90231399)

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32. 皆川宏之 (30241300)

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33. 廣瀬進 (10264144)

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34. 笹原泰 (80299370)

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35. OHTA Takuya (30211791)

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36. MATSUMOTO Keiji (30229546)

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37. 三宅敏恒 (20025430)

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# of Collaborated Products: 0 results

Shibukawa Youichi 澁川 陽一

SHIBUKAWA Youichi 澁川 陽一

渋川 陽一 シブカワ ヨウイチ

SGIBUKAWA Youichi 渋川 陽一

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ダイナミカル・リフレクション写像と関連する代数の研究Principal Investigator

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Morita equivalence for two algebras associated with dynamical Yang-Baxter mapsPrincipal Investigator

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Study of solutions to the reflection equation associated with dynamical Yang-Baxter mapsPrincipal Investigator

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Dynamical Yang-Baxter maps and Hopf algebroidsPrincipal Investigator

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Studies of algebro-geometric aspects on dynamical Yang-Baxter mapsPrincipal Investigator

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Vertex-Face対応と量子代数の構成Principal Investigator

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Shibukawa Youichi 澁川陽一

SHIBUKAWA Youichi 澁川陽一

渋川陽一シブカワヨウイチ

SGIBUKAWA Youichi 渋川陽一