SHIBUKAWA Youichi 澁川陽一

… Alternative Names

Researcher Number	90241299
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Affiliation (Current)	2019 : 北海道大学, 理学研究院, 准教授
Affiliation (based on the past Project Information) *help	2016 – 2017 : 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
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Geometry / Basic analysis / Algebra / Geometry / Basic analysis
Keywords	Principal Investigator ヤン・バクスター方程式 / 量子代数 / ダイナミカル・ヤン・バクスター写像 / vertex-face対応 / 楕円型R作用素 / L作用素 / R作用素 / テンソル圏 / ホップ亜代数 / Calogero … More Except Principal Investigator 写像類群 / 不変微分作用素 / モジュライ空間 / マグナス展開 / リーマン面 / ジョンソン準同型 / 微分作用素環 / 半単純リー群 / 等方表現 / 離散系列表現 / 随伴多様体 / 森田マンフォード類 / アフィンリー環 / 超楕円的写像類群 / discrete series / 冪零軌道 / リー環 / シューア函数 / ユニタリ表現 / 離散系列 / Magnus expansion / Riemann surface / semisimple Lie group / 四元数型対称空間 / Lie algebra / moduli space / mapping class group / Harish-Chandra module / ヴェイユ表現 / nilpotent orbit / 超幾何系 / テータ対応 / automorphism group of a free group / 無限次元表現 / toric variety / ワイル代数 / モジュラー束 / 森田・マンフォード類 / Weyl algebra / Bruschi-Calogero equation / 森田マシフォード類 / Harish-Chandara加群 / Borel de-Siebenthal離数系列 / affine Lie algebras / quaternionic symmetric space / 曲面の対称性 / ヤング図形 / 非可換ピカール・レフシェッツ公式 / Young Diagrams / Symmetric Groups / ゲルファント・フクス・コホモロジー / 普遍包絡代数 / Morita-Mumford class / ブルスキ・カロジェロ方程式 / ストリング・トポロジー / 複素解析ベクトル場 / アフィン・リー環 / 指標 / 擬等角変形 / ホロノミック系 / 形式的シンプレクティック幾何 / unitary highest weight module / スタシェフ結合多面体 / Stanley-Reisner環 / 超幾何 / Cohen-Macaulay環 / holonomic system / 一般Whittaker模型 / マグナス表現 / Stasheff associahedron / 森田・マニフォード類 / 位相幾何学 / 旗多様体 / ゴールドマン・リー代数 / グレブナー基底 / エルミート対称空間 / highest weight representation / 複素鏡映群 / Grobner basis / 対称群 / 積分周期 / ヴェイユ型表現 / スタシェフのアソシアヘドロン / 凸多面体 / 分類 / 既約表現 / Affine Lie Alqebras / decomposition matrices / complex reflection groups / Schur Functions / ウエイトベクトル / Betti数列 / 無限次元リー代数 / classification / 調和積分論 / グレブナ-基底 / 特異ユニタリ表現 / Ehrhart多項式 / 量子化 / generalized Whittaker model / エルミート型 / 階数公式 / デーン・ツイスト / 随伴サイクル / ハリシュ-チャンドラ加群 / ピカール・レフシェッツ公式 / Whittaker模型 / 実調和解析 / Howe双対性 / 調和解析 / アラケロフ・グリーン函数 / トーリック多様体 / 四元数型表現 / べき零軌道 / 最高ウェイト表現 / invariant differential operator / リー群 / ハリシュ・チャンドラ加群 / multiplicity / 双対性 / differential operator of gradient type / hypergeometric system / dimension formula / surface symmetry / 簡約リー群 / 表現の分岐 / 不変量 / 複素解析葉層 / ヤン・バクスター方程式 / 一般化Whittaker模型 / Johnson homomorphism / hypergeometric / 幾何学的不変量 / コホモロジー誘導表現 / 微分方程式系 / 楕円函数 / hyperelliptic mapping class group / isotropy representation / Morita-Mumford classes / 勾配型微分作用素 / 重複度 / Harish-Chandra加群 / 一般化されたWhittaker模型 / Schur functions / ファットグラフ / 分解行列 / Whittakerベクトル / 不変式論 / ユニタリ最高ウェイト加群 / シューア函教 / 自由群の自己同型群 / カペリ恒等式 / 次元公式 / べき零共役類 / 複素解析的ベクトル場 / 単体的複体 / ディラク作用素 Less

ダイナミカル・ヤン・バクスター写像から定まる2つの代数の森田同値性Principal InvestigatorOngoing
- Principal Investigator
  
  澁川陽一
- Project Period (FY)
  2017 – 2020
- 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 2017 2016 2015 2014 2013 2010 2009 2008 2007 2005 2004

All Journal Article Presentation

[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
- 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
- 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
- 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] 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）
- Int'l Joint Research / Invited
- 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] 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)

# of Collaborated Projects : 10results

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

# of Collaborated Projects : 9results

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3. YAMADA Hiro-fumi (40192794)

# of Collaborated Projects : 6results

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4. WACHI Akihito (30337018)

# of Collaborated Projects : 4results

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5. NISHIYAMA Kyo (70183085)

# of Collaborated Projects : 4results

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6. KAWAZUMI Nariya (30214646)

# of Collaborated Projects : 3results

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7. MATSUMOTO Yukio (20011637)

# of Collaborated Projects : 3results

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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)

# of Collaborated Projects : 2results

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12. HIRAI Takeshi (70025310)

# of Collaborated Projects : 2results

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13. NAKAJIMA Tatsuhiro (00286006)

# of Collaborated Projects : 2results

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14. OHBA Kiyoshi (80242337)

# of Collaborated Projects : 2results

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15. 日比孝之 (80181113)

# of Collaborated Projects : 1results

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16. ENDO Hisaaki (20323777)

# of Collaborated Projects : 1results

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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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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・ヤン・バクスター写像から定まる2つの代数の森田同値性Principal InvestigatorOngoing

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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

渋川陽一シブカワヨウイチ

SGIBUKAWA Youichi 渋川陽一