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Saito Yoshihisa  斉藤 義久

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… 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 2025: 立教大学, 理学部, 教授
2017 – 2023: 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 … More
2014: 東京大学, 大学院数理科学研究科, 准教授
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 / 量子包絡代数 / ソリトン方程式 / 箙多様体 / 楕円ルート系 / 量子包絡環 / 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 / Macdonald polynomial / 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
  • Research Projects

    (22 results)
  • Research Products

    (105 results)
  • Co-Researchers

    (37 People)
  •  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
      斉藤 義久
    • 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

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2004 Other

All Journal Article Presentation Book

  • [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] 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 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
  • 1.  TANISAKI Toshiyuki (70142916)
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  • 2.  KANEDA Masaharu (60204575)
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  • 3.  KASHIWARA Masaki (60027381)
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    # of Collaborated Products: 0 results
  • 16.  KIKUCHI Tetsuya (00374900)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NISHIZAWA Michitomo (20318801)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 4 results
  • 18.  SAITO Kyoji (20012445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KANEDA Masaharu (60204557)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KANNO Hiroaki (90211870)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  UMEHARA Masaaki (90193945)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  AWATA Hidetoshi (40314059)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  YASUI Yukinori (30191117)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TAKEUCHI Mitsuhiro (00015950)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MORITA Jun (20166416)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MIYAMOTO Masahiko (30125356)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KATO Syu (40456760)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  三町 勝久 (40211594)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  都築 暢夫 (10253048)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  森田 良幸 (20243545)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  WILLOX Ralph (20361610)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  神保 道夫 (80109082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 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

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