Saito Yoshihisa 斉藤義久

… Alternative Names

SAITO Yoshihisa 斉藤義久

斎藤義久サイトウヨシヒサ

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Researcher Number	20294522
Other IDs
Affiliation (Current)	2025: 立教大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2017 – 2025: 立教大学, 理学部, 教授 2016: 東京大学, 大学院数理科学研究科, 准教授 2015: 東京大学, 数理科学研究科, 准教授 2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授 2014: 東京大学, 大学院数理科学研究科, 准教授 … More 2007 – 2011: The University of Tokyo, 大学院・数理科学研究科, 准教授 2009: 東京大学, 数理科学研究科, 准教授 2006: 東京大学, 大学院数理科学研究科, 助教授 2003 – 2006: 東京大学, 数理科学研究科, 助教授 2001 – 2005: 東京大学, 大学院・数理科学研究科, 助教授 2002: Univ. of Tokyo Graduate school of Mathematical Science, assistant professor, 大学院・数理化学研究科, 助教授 2000: Hiroshima Univ., Graduate school of Science, Assistant, 大学院・理学研究科, 助手 1998 – 1999: 広島大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra / Global analysis / Geometry
Keywords	Principal Investigator 量子群 / 結晶基底 / 無限次元リー代数 / 楕円ルート系 / 量子包絡環 / 量子包絡代数 / ソリトン方程式 / 箙多様体 / 表現論 / アフィンリー代数 / 結晶結底 / トロイダル代数 / トロイダルリー代数 … More Except Principal Investigator … More 量子群 / 代数群 / 代数解析 / 表現論 / Lakshmibai-Seshadri path / path model / 結晶基底 / algebraic analysis / 最高ウェイト加群 / 表現 / 可積分系 / ソリトン / カッツ・ムーディ・リー代数 / KZ方程式 / Demazure 加群 / 量子 Bruhat グラフ / semi-infinite Bruhat 順序 / ｑｕａｎｔｕｍ　Ｗｅｙｌ　ｍｏｄｕｌｅ / Ｌａｋｓｈｍｉｂａｉ－Ｓｅｓｈａｄｒｉ　ｐａｔｈ / ｅｘｔｒｅｍａｌ　ｗｅｉｇｈｔ　ｍｏｄｕｌｅ / ｑｕａｎｔｕｍ　ａｆｆｉｎｅ　ａｌｇｅｂｒａ / ｃｒｙｓｔａｌ　ｂａｓｉｓ / Ｍａｃｄｏｎａｌｄｐｏｌｙｎｏｍｉａｌ / pQLS パス / Macdonald 多項式 / 代数学 / 半無限旗多様体 / Lakshmibai-Seshadri パス / マクドナルド多項式 / Demazure 部分加群 / extremal ウエイト加群 / レベル・ゼロ表現 / アフィン量子群の表現論 / 超離散化 / 特殊関数 / Algebraic analysis / Quantum groups / Lie algebras / リー代数 / representations / algebraic groups / fundamental representation / level zero / standard module / extremal weight module / quantum affine algebra / crystal base / 基本表現 / レベル・ゼロ / standard加群 / extremalウエイト加群 / アフィン量子群 / Highestweight modulas / algobrarc groups / quantum groups / Infimte dimensiand Lie Igobras / 最高ウエイトDb群 / 無限次元リー代数 / Instanton / Local Mirror Symmetry / Supersymmetry / Special Holonomy / 極小曲面 / M理論 / 重力インスタントン / 例外ホロノミー群 / インスタントン / 局所ミラー対称性 / 超対称性 / 特殊ホロノミー群 / representation / algebraic group / カッツムーディ・リー代数 / 国際研究者交流(アメリカ) / ランダム行列 / Jack多項式 / 行列積分 / ガルニエ系 / KP階層 / 相似簡約 / shifted Jack多項式 / ヤン・バクスター写像 / パンルヴェ方程式 / 群の表現論 / 最高ウェイト表現 / アフィン・リー代数 / D加群 Less

楕円ルート系に付随する量子代数の研究Principal Investigator
- Principal Investigator
  
  斉藤義久
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Rikkyo University
Geometric study of quantum toroidal algebrasPrincipal Investigator
- Principal Investigator
  
  Saito Yoshihisa
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Rikkyo University
Gepmrtic study of quantum groups and its applicationsPrincipal Investigator
- Principal Investigator
  
  SAITO Yoshihisa
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
  The University of Tokyo
Geometric study of quantum groups and associative algebrasPrincipal Investigator
- Principal Investigator
  
  Saito Yoshihisa
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research on the representation theory of algebraic groups using algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
Geometric realization of the crystal bases of standard modules over quantum affine algebras
- Principal Investigator
  
  Naito Satoshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
Extension of special functions from the viewpoint of integrable systems
- Principal Investigator
  
  KAKEI Saburo
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Rikkyo University
Geometric study of quantum groups and its application to representation theory of algebrasPrincipal Investigator
- Principal Investigator
  
  SAITO Yoshihisa
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research on representation theory of algebraic groups and quantum groups via algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
Research on a point of contact between classical and quantum integrable systems
- Principal Investigator
  
  KAKEI Saburo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Rikkyo University
アフィン量子群の表現論の幾何学的研究Principal Investigator
- Principal Investigator
  
  斉藤義久
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Lie algebras and quantum groups via algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
Representation theory of algebraic groups via algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
量子群の表現論の幾何学的研究Principal Investigator
- Principal Investigator
  
  斉藤義久
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Study on the path models for extremal weight modules over a quantum affine algebra
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Representation theory of Lie algebras and quantum groups
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
  Hiroshima University
トロイダル代数と可積分系Principal Investigator
- Principal Investigator
  
  斉藤義久
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
  Hiroshima University
リー代数と量子群の表現論の代数解析的研究
- Principal Investigator
  
  谷崎俊之
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Special'Holonomy Group and Supersymmetric Cycle
- Principal Investigator
  
  KANNO Hiroaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
  Hiroshima University
Representation theory of algebraic groups through algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
トロイダル代数及び量子トロイダル代数の表現論の研究Principal Investigator
- Principal Investigator
  
  斉藤義久
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
有限体およびP進体上のKZ方程式とその表現論への応用
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University

[Book] Algebraic Analysis and Around2009
- Author(s)
  Atsushi MATSUO, Tetsuji MIWA, Toshiki NAKASHIMA, Yoshihisa SAITO(編集)
- Total Pages
  379
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-20540009
[Book] Advanced studies in Pure Mathematics(Algebraic analysis and around (編集)2009
- Author(s)
  Atsuhi MATSUO, Tetsuji MIWA, Toshiki NAKASHIMA, Yoshihisa SAITO
- Total Pages
  54
- Publisher
  Math.Soc.Japan
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Macdonald identities: revisited2025
- Author(s)
  Kenji Iohara and Yoshihisa Saito
- Journal Title
  
  Journal of Lie Theory
  
  Volume: 35 Pages: 191-205
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Journal Article] Invariants of the Weyl group of type A_2l^(2)2020
- Author(s)
  Kenji Iohara and Yoshihisa Saito
- Journal Title
  
  Pure and Applied Mathematics Quarterly
  
  Volume: 16 Issue: 3 Pages: 337-369
- DOI
  10.4310/pamq.2020.v16.n3.a2
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Journal Article] Invariants of the Weyl group of type A_{2l}^{(2)}2020
- Author(s)
  Kenji Iohara and Yoshihisa Saito
- Journal Title
  
  Pure and Applied Mathematics Quarterly
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Journal Article] Remarks on the Drinfeld realization of quantum affine algebras2019
- Author(s)
  斉藤義久
- Journal Title
  
  Algebraic Lie Theory and Representation Theory
  
  Volume: 4 Pages: 139-146
- Data Source
  KAKENHI-PROJECT-16K05055
[Journal Article] Quantized coordinate rings, PBW-type bases and q-boson algebras2016
- Author(s)
  Yoshihisa Saito
- Journal Title
  
  Journal od Algebra
  
  Volume: 453 Pages: 456-491
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540008
[Journal Article] Quantized coordinate rings, PBW-type bases and q-boson algebras2016
- Author(s)
  Yoshihisa Saito
- Journal Title
  
  Journal of Algebra
  
  Volume: 453 Issue: 1 Pages: 456-491
- DOI
  10.1016/j.jalgebra.2011.01.010
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K05055
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part III2013
- Author(s)
  S. Naito, D. Sagaki, and Y. Saito
- Journal Title
  
  Proof of the connectedness, Springer Proceedings in Mathematics and Statistics
  
  Volume: Vol.40 Pages: 361-402
- DOI
  10.1007/978-1-4471-4863-0_15
- ISBN
  9781447148623, 9781447148630
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-23740003, KAKENHI-PROJECT-24540008, KAKENHI-PROJECT-24540010
[Journal Article] Mirkovic Vilonen polytopes and a quiver construction of crystal basis in type A2012
- Author(s)
  Yoshihisa Saito
- Journal Title
  
  Int. Math. Res. Notices
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, Part I : Construction of the affine analogs2012
- Author(s)
  S.Naito, D.Sagaki, Y. Saito
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 565 Pages: 143-184
- DOI
  10.1090/conm/565/11180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-24540008, KAKENHI-PROJECT-24540010
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, I : Construction ogaffne analogs2012
- Author(s)
  Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
- Journal Title
  
  Contemp.Math.
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs2012
- Author(s)
  Daisuke Sagaki, Satoshi Naito, and Yoshihisa Saito
- Journal Title
  
  http://dx.doi.org/10.1090/conm/565/11187
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540008
[Journal Article] Towoard Berenstein Zalevinsky data in affine type A, II : Expricit description2012
- Author(s)
  Daisuke Sagaki, Yoshihisa Saito, Satoshi Naito
- Journal Title
  
  Contemp. Math
  
  Volume: 565 Pages: 185-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Towoard Berenstein Zalevinsky data in affine type A, I : Constriction of affine analogs2012
- Author(s)
  Daisuke Sagaki, Yoshihisa Saito, Satoshi Naito
- Journal Title
  
  Contemp. Math
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, II : Explicit description2012
- Author(s)
  Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
- Journal Title
  
  Contemp.Math.
  
  Volume: 565 Pages: 185-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, Part II : Explicit description2012
- Author(s)
  S.Naito, D. Sagaki, Y. Saito
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 565 Pages: 185-216
- DOI
  10.1090/conm/565/11179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-24540010
[Journal Article] Mirkovic-Vilonen polytoples and a quiver construction of crystal basis in type A2011
- Author(s)
  Yoshihisa Saito
- Journal Title
  
  Int.Math.Res.Notices
  
  Volume: 2012 Issue: 17 Pages: 3877-3928
- DOI
  10.1093/imrn/rnr173
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Indecompozable decomposition of tensor products of modules over the restricted quantum universal enveloping algebras associated to sl_22011
- Author(s)
  Hiroki Kondo, Yoshihisa Saito
- Journal Title
  
  J. Alg.
  
  Volume: 330 Pages: 103-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Indecomposable decomposition of tensor products of modules over the restricted quantum enveloping algebra associated to $sl_2$2011
- Author(s)
  Yoshihisa SAITO, Hiroki KONDO
- Journal Title
  
  Journal of Algbera 330
  
  Pages: 103-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to sl22011
- Author(s)
  H.Kondo, Y.Saito
- Journal Title
  
  J.Alg. 330
  
  Pages: 103-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $s1_2$2011
- Author(s)
  Hiroki KONDO, Yoshihisa SAITO
- Journal Title
  
  Journal of Algebra
  
  Volume: 330 Pages: 103-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Double affine Hecke algebras and elliptic Hecke algebras2010
- Author(s)
  Yoshihisa Saito, Midori Shiota
- Journal Title
  
  Progress in Math.
  
  Volume: 284 Pages: 297-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Representation Theory of Algebraic Groups and Quantum Groups2010
- Author(s)
  Y.Saito, M.Shiota
- Journal Title
  
  Double affine Hecke algebras and elliptic Hecke algebras, Progress in Math. 284
  
  Pages: 297-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] On Hecke algebras associated with elliptic root systems2010
- Author(s)
  Yoshihisa SAITO, Midori SHIOTA
- Journal Title
  
  Representation Theory of Algebraic Groups and Quantum Groups (Progress in Math.)
  
  Volume: 284 Pages: 297-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras2009
- Author(s)
  Yoshihisa SAITO, Midori SHIOTA
- Journal Title
  
  Publ.RIMS. 45
  
  Pages: 845-905
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras.2009
- Author(s)
  Saito, Yoshihisa; Shiota, Midori
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 45
  
  Pages: 845-905
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340010
[Journal Article] On tensor products of Mirkovic-Vilonen polytopes in type A2009
- Author(s)
  Satoshi NAITO, Daisuke SAGAKI, Yoshihisa SAITO
- Journal Title
  
  研究集会「表現論と組合せ論」報告集 (to appear, 掲載確定)
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials2009
- Author(s)
  S. Kakei, M. Nishizawa, Y. Saito, Y. Takeyama
- Journal Title
  
  Symmetry, Integrability and Geometry : Methods and Applications (SIGMA) 5
  
  Pages: 10-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] On Hecke algebras associated with elliptic root systems2009
- Author(s)
  Yoshihisa SAITO and Midori SHIOTA
- Journal Title
  
  Progress in Math.(to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras, Publ2009
- Author(s)
  Yoshihisa Saito, Midori Shiota
- Journal Title
  
  Res. Inst. Math. Sci.
  
  Volume: 45 Pages: 845-905
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Yoshihiro Takeyama, The rational qKZ equation and shifted non-symmetric Jack polynomials2009
- Author(s)
  Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito
- Journal Title
  
  SIGMA
  
  Volume: 5 Pages: 12-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials2009
- Author(s)
  S. Kakei, M. Nishizawa, Y. Saito, Y. Takeyama
- Journal Title
  
  SIGMA 5
  
  Pages: 10-10
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] On Hecke algebras associated with elliptic root systems andthe double affine Hecke algebras2009
- Author(s)
  Y.Saito, M.Shiota
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 45
  
  Pages: 845-905
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras2009
- Author(s)
  Yoshihisa SAITO, Midori SHIOTA
- Journal Title
  
  Publications RIMS. 45
  
  Pages: 845-905
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras2009
- Author(s)
  Yoshihisa SAITO and Midori SHIOTA
- Journal Title
  
  Publ. RIMS (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials2009
- Author(s)
  S.Kakei, M.Nishizawa, Y.Saito, Y.Takeyama
- Journal Title
  
  SIGMA (Symmetry, Integrability and Geometry : Methods and Applications) 5
  
  Pages: 10-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540228
[Journal Article] The rational qKZ equation and shifted non-symmetric Jack polynomials2009
- Author(s)
  Saburo KAKEI, Michitomo NISHIZAWA, Yoshihisa SAITO, Yoshihiro TAKEYAMA
- Journal Title
  
  SGMA 5 10
  
  Pages: 12-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems2009
- Author(s)
  Yoshihisa SAITO, Midori SHIOTA
- Journal Title
  
  Progress in Math. (to appear, 掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] The rational qKZ equation and shifted non-symmetric Jackpolynomials2008
- Author(s)
  S. KAKEI, M. NISHIZAWA, Y. SAITO and Y.TAKEYAMA
- Journal Title
  
  SIGMA 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] On Hecke algebras associated with elliptic root systems.2008
- Author(s)
  Yoshihisa Saito and Midori Shiota
- Journal Title
  
  Representation theory of Algebraic Groups and Quantum groups 06 (Progress in Math.) (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740004
[Journal Article] An introduction to canonical basis2004
- Author(s)
  Yoshihisa Saito
- Journal Title
  
  Fields Institute Communications 40
  
  Pages: 431-451
- Data Source
  KAKENHI-PROJECT-14740006
[Journal Article] An introduction to canonical bases2004
- Author(s)
  Y.Saito
- Journal Title
  
  Fields Inst.Commun. 40
  
  Pages: 261-276
- Data Source
  KAKENHI-PROJECT-15540041
[Journal Article] Berenstein-Zelevinsky data and the crystal basis of $U_q^-$ in type $A_n^{(1)}$
- Author(s)
  Yoshihisa SAITO
- Journal Title
  
  数理解析研究所講究録「組合せ論的表現論とその応用」(to appear)
  
  Volume: (掲載確定)
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] 楕円ルート系とその応用2024
- Author(s)
  Yoshihisa Saito
- Organizer
  Topics on mathematical structures in string theory
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] On Lie algebras associated with marked elliptic root systems2024
- Author(s)
  Yoshihisa Saito
- Organizer
  Crystal Bases and Then...
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] Elliptic root systems and their applications2024
- Author(s)
  Yoshihisa Saito
- Organizer
  Combinatorial Representation Theory and Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] On elliptic root systems and their applications2024
- Author(s)
  Yoshihisa Saito
- Organizer
  Seminaires Mathematiques-Physique, Institute de Mathematiques de Bourgogne
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] On elliptic root systems2023
- Author(s)
  Yoshihisa Saito
- Organizer
  Gauge Theory, Moduli Spaces and Representation Theory, Kashiwa 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] 楕円ルート系とその応用2023
- Author(s)
  Yoshihisa Saito
- Organizer
  琉球大学理学部数学教室談話会
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] Elliptic root systems with non-reduced affine quotients2023
- Author(s)
  Yoshihisa Saito
- Organizer
  Complex Geometry and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] Orthgonal polynomials and Hecke algebras associated with elliptic root systems2022
- Author(s)
  Yoshihisa Saito
- Organizer
  Complex geometry and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] 楕円ルート系に付随するArtin群と関連する諸問題2021
- Author(s)
  Yoshihisa Saito
- Organizer
  東北大学数学教室談話会
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] 楕円ルート系とそれに関連して現れる代数系2020
- Author(s)
  Yoshihisa Saito
- Organizer
  代数学シンポジウム（基調講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] 楕円Artin群について2020
- Author(s)
  Yoshihisa Saito
- Organizer
  日本数学会秋季総合分科会（特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03568
[Presentation] 楕円Artin群について2020
- Author(s)
  Yoshihisa Saito
- Organizer
  2020年度日本数学会年会，無限可積分系セッション特別公演
- Invited
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] Elliptic Artin groups2019
- Author(s)
  Yoshihisa Saito
- Organizer
  Algebra und Zahlentheorie Seminare
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] Elliptic Artin groups2019
- Author(s)
  Yoshihisa Saito
- Organizer
  Geometry and Integrable Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] Artin groups associated to elliptic root systems2019
- Author(s)
  Yoshihisa Saito
- Organizer
  Conference on Algebraic Representation Theory 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] On quantum toroidal algebras associated with arbitrary root systems2018
- Author(s)
  Yoshihisa Saito
- Organizer
  Arbeitsgruppe Algebra und Zahlentheorie Seminare, Mathematisches Institut, University of Cologue.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] Remarks on the Drinfeld realization of quantum affine algebras2018
- Author(s)
  Yoshihisa Saito
- Organizer
  Algebraic Lie Theory and Representation Theory 2018
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] On quantum elliptic algebras2017
- Author(s)
  Yoshihisa Saito
- Organizer
  MS Seminar
- Place of Presentation
  Kavli IPMU, University of Tokyo
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] On quantum toroidal algebras associated with arbitrary semisimple Lie algebras2017
- Author(s)
  Yoshihisa Saito
- Organizer
  Infinite Analysis 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] 楕円ルート系について2016
- Author(s)
  Yoshihisa Saito
- Organizer
  信州代数セミナー
- Place of Presentation
  信州大学
- Year and Date
  2016-02-18
- Invited
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Quantum groups, quivers and related geometry2016
- Author(s)
  Yoshihisa Saito
- Organizer
  Berkeley-Tokyo Autumn School --- Quantum Field Theory and Subfactors ---
- Place of Presentation
  UC Berkeley
- Year and Date
  2016-11-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] On quantum elliptic Algebras2016
- Author(s)
  Yoshihisa Saito
- Organizer
  Geometric representation theory
- Place of Presentation
  京都大学理学部
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05055
[Presentation] 表現論 vs. 表現論2016
- Author(s)
  Yoshihisa Saito
- Organizer
  代数学若手会
- Place of Presentation
  奈良女子大学
- Year and Date
  2016-03-29
- Invited
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Geometric construction of crystal bases and its applications2015
- Author(s)
  Yoshihisa Saito
- Organizer
  Series of Lectures on representation theory
- Place of Presentation
  Tongji University (China)
- Year and Date
  2015-10-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] On Elliptic Artin Groups2015
- Author(s)
  Yoshihisa Saito
- Organizer
  Shanghai Conference on Representation Theory
- Place of Presentation
  Tian He Hotel (Shanghai,China)
- Year and Date
  2015-12-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Quantized coordinate rings, PBW bases and $q$-boson algebras2014
- Author(s)
  Yoshihisa Saito
- Organizer
  Representation Theory and Related Topics (ICM2014 Satellite Conference)
- Place of Presentation
  EXCO, Daegu, Korea
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] 量子座標環とその表現2014
- Author(s)
  斉藤義久
- Organizer
  第1７回代数群と量子群の表現論
- Place of Presentation
  呉羽ハイツ, 富山県富山市
- Year and Date
  2014-08-08
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Quantized coordinate rings, PBW bases and $q$-boson algebras2014
- Author(s)
  Yoshihisa Saito
- Organizer
  Shanghai Workshop on Representation Theory
- Place of Presentation
  Tongji University, Shanghai,China
- Year and Date
  2014-12-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] On Berenstein Zelevinsky data in affine type A, Symmetries2011
- Author(s)
  Yoshihisa Saito
- Organizer
  Integrable systems and Representations
- Place of Presentation
  Universite 1, Lyon, France
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation]2011
- Author(s)
  Yoshihisa Saito
- Organizer
  Symmetries, Integrable systems and Representations
- Place of Presentation
  Universite 1(Lyon,フランス)(招待講演)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On Berenstein-Zelevinsky data in affine type A2011
- Author(s)
  Yoshihisa Saito
- Organizer
  Conformed Field Theories and Tensor Categories
- Place of Presentation
  Peking Unoversity(北京,中国)(招待講演)
- Year and Date
  2011-05-13
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On Berenstein Zelevinsky data in affine type A, Conformal field theories and tensor categories2011
- Author(s)
  Yoshihisa Saito
- Organizer
  Beiging International center for Mathematical Research
- Place of Presentation
  Beiging, China
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] 前射影多元環と量子群の結晶基底2011
- Author(s)
  斉藤義久
- Organizer
  第44回環論および表現論シンポジウム
- Place of Presentation
  岡山大学理学部
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] 前射影多元環と量子群の結晶基底2011
- Author(s)
  斉藤義久
- Organizer
  第44回環論および表現論シンポジウム
- Place of Presentation
  岡山大学理学部(招待講演)(連続講演)
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Crystals, MV polytopes and' toropical flag varieties'2010
- Author(s)
  斉藤義久
- Organizer
  トロピカル幾何と超離散系の新展開
- Place of Presentation
  京都大学大学院工学研究科
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Crystals, MV-polytopes and 'tropical flag varieties'2010
- Author(s)
  斉藤義久
- Organizer
  トロピカル幾何と超離散系の新展開
- Place of Presentation
  京都大学大学院工学研究科
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] Berenstein-Zelevonsky data and the crystal basis of U_q^-in tyle A_{ n-1}^{(1)}2010
- Author(s)
  斉藤義久
- Organizer
  組合せ論的表現論とその応用
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Mirkovic-Vilonen polytopes and a quiver construction of crystal basis in type A2010
- Author(s)
  Yoshihisa Saito
- Organizer
  Representation Theory og Algebraic Groups and Quantum Groups' 10
- Place of Presentation
  Nagoya University
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Crystals, MV polytopes and tropical flag varieties2010
- Author(s)
  Yoshihisa SAITO
- Organizer
  トロピカル幾何と超離散系の新展開
- Place of Presentation
  京都大学大学院工学研究科
- Year and Date
  2010-03-11
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor category arising from representation theory of the restricted quantum universal enveloping algebra associated to $s1_2$2010
- Author(s)
  Yoshihisa SAITO
- Organizer
  Interplay between representation theory and Geometry
- Place of Presentation
  Tsinghua University (Beijing, China)
- Year and Date
  2010-05-04
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor category arising form representation theory of the restricted quantum universal enveloping algebra associated to $sl_2$2010
- Author(s)
  Yoshisa SAITO
- Organizer
  Invited talk, Interplay between representation theory and geomerry
- Place of Presentation
  Tsinghua University (Beijing, China)
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Mirkovic-Vilonen polytopes and quiver construction of crystal basis in type A2010
- Author(s)
  斉藤義久
- Organizer
  Representation Theory of Algebraic Groups and Quantum Groups'10
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] Mirkovic-Vilonen polytopes and quiver construction of crystal basis in type $A_n$2010
- Author(s)
  Yoshihisa SAITO
- Organizer
  Representation Theory of Algebraic Groups and Quantum Groups 10
- Place of Presentation
  Nagoya University (Nagoya, Japan)
- Year and Date
  2010-08-03
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Bernstein-Zelevinsky data and the crystal basis of U_q^-$ in type A_<n-1>(1)2010
- Author(s)
  斉藤義久
- Organizer
  組合せ論的表現論とその応用
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] Mirkovic-Vilonen polytopes and quiver construction of crystal basis in type $A$2010
- Author(s)
  Yoshihisa SAITO
- Organizer
  Invited talk, Representation theory og Algberaic Groups and Quantum Groups '10
- Place of Presentation
  Nagoya University (Nagoya, Japan)
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor category arising from representation theory of the restricted quantum universal enveloping algebra associated to sl_22010
- Author(s)
  Yoshihisa Saito
- Organizer
  Interplay between representation theory and geometry
- Place of Presentation
  Tsinghua University Beijing, China
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Bernstein-Zelevinsky data and the crystal basis of $U_q^-$ in type $A_{n-1}^{(1)}$2010
- Author(s)
  Yoshihisa SAITO
- Organizer
  組合せ論的表現論とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-10-22
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor category arising from representation theory of the restricted quantum universal enveloping algebra associated to sl_22009
- Author(s)
  Yoshihisa Saito
- Organizer
  International workshop on combinatorial and geometric approach to representation theory
- Place of Presentation
  Seoul National University Seoul, Korea
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] The rational qKZ equation and shifted non-symmetric Jack polynomials2009
- Author(s)
  筧三郎,西澤道知,斉藤義久,竹山美宏
- Organizer
  日本数学会2009年度年会
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] On tensor category arising form representation theory of the restricted quantum universal enveloping algebra associated to $sl_2$2009
- Author(s)
  Yoshihisa SAITO
- Organizer
  Invited talk, International workshop on combinatorial and geometric representation theory
- Place of Presentation
  Seoul National University (Seoul, Korea)
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor products of Mirkovic-Vilonen polytopes in type A2009
- Author(s)
  Yoshihisa SAITO
- Organizer
  表現論と組合せ論
- Place of Presentation
  北海道大学大学院理学研究科
- Year and Date
  2009-08-26
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Small quantum group U_q(sl_2)の表現のテンソル積の直既約分解について2009
- Author(s)
  斉藤義久
- Organizer
  日本数学会2009年度年会
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] On tensor category arising from representation theory of the restricted quantum universal enveloping algebra associated to s1\22009
- Author(s)
  Yoshihisa SAITO
- Organizer
  International workshop on combinatorial and geometric approach to representation theory
- Place of Presentation
  Seoul National University(Seoul, Korea)
- Year and Date
  2009-09-23
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Hecke代数の多項式表現について2008
- Author(s)
  斉藤義久
- Organizer
  第53回代数学シンポジウム
- Place of Presentation
  盛岡駅前アイーナ
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] Hecke代数の多項式表現について2008
- Author(s)
  斉藤義久
- Organizer
  第53回代数学シンポジウム
- Place of Presentation
  盛岡駅前アイーナ
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Hecke代数の多項式表現について2008
- Author(s)
  Yoshihisa SAITO
- Organizer
  第53回代数学シンポジウム盛岡駅前アリーナ
- Place of Presentation
  招待講演
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] Restricted quantum group U_q(sl_2)の表現のテンソル積の直既約分解について2008
- Author(s)
  斉藤義久
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2008-03-28
- Data Source
  KAKENHI-PROJECT-20540009
[Presentation] 有限次元代数の表現論入門2007
- Author(s)
  斉藤義久
- Organizer
  代数幾何セミナー2007
- Place of Presentation
  東京大学玉原国際セミナーハウス(群馬県沼田市)
- Year and Date
  2007-08-06
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] 二重アフィンヘッケ代数と楕円ヘッケ代数について2007
- Author(s)
  斉藤義久
- Organizer
  代数セミナー
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-09-27
- Data Source
  KAKENHI-PROJECT-19540228
[Presentation] Realization of crystal bases
- Author(s)
  Yoshihisa Saito
- Organizer
  The 2nd mini-symposium on Representation theory
- Place of Presentation
  Jeju (Korea)
- Invited
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Schubert多様体のIC complexの特性多様体に関する一観察
- Author(s)
  斉藤義久
- Organizer
  大阪表現論セミナー
- Place of Presentation
  大阪市立大学文化交流センター
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] 量子座標環の表現論
- Author(s)
  斉藤義久
- Organizer
  大阪市立大学談話会
- Place of Presentation
  大阪市立大学
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Toward Berenstein-Zelevinsky data in affine type $A$
- Author(s)
  Yoshihisa Saito
- Organizer
  第１５回代数群と量子群の表現論
- Place of Presentation
  いこいの村アゼィリア飯綱
- Data Source
  KAKENHI-PROJECT-24540008
[Presentation] Toward Berenstein-Zelevinsky data in affine type $A$
- Author(s)
  Yoshihisa Saito
- Organizer
  代数解析学とその周辺
- Place of Presentation
  早稲田大学理工学部
- Data Source
  KAKENHI-PROJECT-24540008

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34. Lenart Cristian

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. Schilling Anne

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. Shimozono Mark

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 斎藤恭司

# of Collaborated Projects: 0 results

# of Collaborated Products: 48 results

Saito Yoshihisa 斉藤 義久

SAITO Yoshihisa 斉藤 義久

斎藤 義久 サイトウ ヨシヒサ

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楕円ルート系に付随する量子代数の研究Principal Investigator

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Geometric study of quantum toroidal algebrasPrincipal Investigator

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Gepmrtic study of quantum groups and its applicationsPrincipal Investigator

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Geometric study of quantum groups and associative algebrasPrincipal Investigator

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Geometric study of quantum groups and its application to representation theory of algebrasPrincipal Investigator

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アフィン量子群の表現論の幾何学的研究Principal Investigator

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量子群の表現論の幾何学的研究Principal Investigator

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Saito Yoshihisa 斉藤義久

SAITO Yoshihisa 斉藤義久

斎藤義久サイトウヨシヒサ