WAKIMOTO Minoru 脇本實

… Alternative Names

脇本実ワキモトミノル

脇本實ワキモトミノル

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Researcher Number	00028218
Other IDs
Affiliation (based on the past Project Information) *help	2000 – 2004: Faculty of Mathematics, Prof., 大学院・数理学研究院, 教授 1998 – 1999: Kyushu Univ., Graduate School of Mathematics, Professor, 大学院・数理学研究科, 教授 1998: 九州大学, 大学院数理学研究科, 教授 1996: Kyushu University, Graduate School of Mathematics, Professor, 大学院・数理学研究科, 教授 1989 – 1994: 三重大学, 教育学部, 教授
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 Except Principal Investigator 代数学・幾何学 / Algebra / Algebra / Geometry
Keywords	Principal Investigator アフィン・スーパー・リー環 / W代数 / conformal-super代数 / 指標公式 / admissible表現 / 頂点作用素代数 / super conformal代数 / アフィン・リー環 / Drinfeld-Sokolov reduction / W-algebra … More / character formula / asymptotics / criticalレベル / 楕円函数 / テータ函数 / integrable表現 / modular変換 / 指標 / BRST複体 / super-conformal代数 / N=4スーパー・コンフォーマル代数 / スーパー・コンフォーマル代数 / 表現のextension / N=2 super-conformal代数 / ソリトン方程式 / 分母公式 / free fields representation / determinant formula / Appell's function / superconformal algebra / affine Lie superalgebra / Drinfeld-sokolov reduction / twisted W代数 / 自由場表現 / 行列式公式 / Appell函数 / admissible representation / N=2 superconformal algebra / Appell's elliptic function / integrable representation / affine superalgebra / toroidalリー環 / fusion係数 / super-Boson-fermion対応 / Drinfeld-Sokalov reduction / Appellの楕円函数 / extension of representations / kertex operator algenbra / conformal-super algenbra / super conformal algenbra / affine super algebra / superconformal代数 / extension / Neveu-Schwarz conformal代数 / 境界レベル / N=2スーパー・コンフォーマル代数 / アフィン・スーパー・リー一環 / Verlindeの公式 / free field表示 / モジュラー変換 / fusion代数 / N=2 super conformal代数 / isotropicスーパー代数 / isotropic root / R行列 / Gauss和 / スピン・モデル / アフィン・スーパー代数 / N=2ス-パ-・コンフォ-マル代数 / ス-パ-・ヴィラソロ代数 / ヴィラソロ代数 / Fusion則 / Drinfeld Sokolov Resuction / アフィン・リ-環 … More Except Principal Investigator Kazhdan-Lusztig / dual pair / Paffian / モジュライ / Fourier coefficients / period polynomials / quasimodular forms / modular forms / 超特異楕円曲線 / アフィンスーパー代数 / 共形場理論 / 超幾何微分方程式 / extremal形式 / フーリエ係数 / 周期多項式 / 準モジュラー形式 / モジュラー形式 / prehomogeneous / associated variety / nilpotent orbit / theta correspondence / degree / highest weight / semisimple / 保型形式 / ガンマ因子 / Kazhdan-Lusztig予想 / Selberg 積分 / ベキ零軌道 / 重複度自由 / Giambelliの公式 / 最高ウエイト表現 / テータ対応 / 半単純リー郡 / 概均質ベクトル空間 / 随伴多様体 / べき零軌道 / データ対応 / 次数 / 最高ウェイト表現 / 半単純リー群 / Lie algebra / automorphic form / oscillator representation / Capelli identity / Schur polynomial / trace formulas / Oscillator表現 / Dual Pair / Schur関数 / affin Lie環 / oscillator表現 / Dual pair / Capelli恒等式 / Schur多項式 / 不変微分作用素 / affin Lie 環 / oscillator 表現 / Capelli 恒等式 / Schur 多項式 / 跡公式 / ツィスター / ディラック作用素 / インスタントン / コホモロジー / anti-self-dual接続 / 四元数ケーラー多様体 / ヤン・ミル接続 / ホイッタカー・モデル / 離散系列表現 / ユニタリ群 / 保型函数 / 保型因子 / 超楕円曲線 / Thetanullwert / テ-タ関数 / 量子群 / ブラウワ-代数 / モノドロミ-表現 / 絡み目群 / 無限次元リ-環 / 共形場の理論 Less

Research of modular and quasimodular forms arising in various areas of mathematics and their application
- Principal Investigator
  
  KANEKO Masanobu
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERCITY
Representation Theory of Infinite-Dimensional Lie Superalgebras and W-algebras and Their Mathematical ApplicationsPrincipal Investigator
- Principal Investigator
  
  WAKIMOTO Minoru
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
conformal-super代数の表現論の研究Principal Investigator
- Principal Investigator
  
  脇本實 (脇本実)
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Geometric Representation theory of reductive group
- Principal Investigator
  
  OCHIAI Hiroyuki
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
  Kyushu University
Representation theory of infinite-dimensional Lie algebras and superalgebras and its mathematical applicationsPrincipal Investigator
- Principal Investigator
  
  WAKIMOTO Minoru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
Study of dualities and of "infinite sum=infinite product" identities from the trace formula viewpoint
- Principal Investigator
  
  WAKAYAMA Masato
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
頂点作用素代数とソリトン方程式の研究Principal Investigator
- Principal Investigator
  
  脇本實
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyushu University
Representation of superalgebras and their quantum groupsPrincipal Investigator
- Principal Investigator
  
  WAKIMOTO Minoru
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
ソリトン方程式の研究Principal Investigator
- Principal Investigator
  
  脇本實
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Mie University
モジュライ空間の幾何学的研究
- Principal Investigator
  
  新田貴士
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Mie University
Isotropicアフィン・スーパー代数の表現論とW代数及び保型函数の研究Principal Investigator
- Principal Investigator
  
  脇本實
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Mie University
W代数の表現と共形場理論の研究Principal Investigator
- Principal Investigator
  
  脇本實
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Mie University
代数群と保型函数および志村多様体の研究
- Principal Investigator
  
  古関春隆
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Mie University
無限次元リ一環の表現と係型函数及び共形場理論の研究Principal Investigator
- Principal Investigator
  
  脇本實
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Mie University
リ-マン面のモジュライとテ-タ関数
- Principal Investigator
  
  露峰茂明
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Mie University
量子場の理論と無限次元リ-環の表現論
- Principal Investigator
  
  蟹江幸博
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Mie University

All 2004 2003 2001

All Journal Article Book

[Book] Lectures on Infinite-Dimensional Lie Algebra2001
- Author(s)
  Minoru Wakimoto
- Total Pages
  444
- Publisher
  World Scientific
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440012
[Book] Lectures on Infinite-Dimensional Lie Algebra2001
- Author(s)
  Minoru Wakimoto
- Total Pages
  444
- Publisher
  World Scientific Publishing Company
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440012
[Journal Article] Quantum redution and representation theory of superconformal algebras2004
- Author(s)
  Wakimoto, Minoru
- Journal Title
  
  Adv.Math. 185-2
  
  Pages: 400-458
- Data Source
  KAKENHI-PROJECT-15340014
[Journal Article] Launching on a voyage into representation theory of Lie superalgebras2004
- Author(s)
  Minoru Wakimoto
- Journal Title
  
  Sugaku Expositions 17
  
  Pages: 103-124
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440012
[Journal Article] Launching on a voyage-into representation theory of Lie superalgebras2004
- Author(s)
  Minoru Wakimoto
- Journal Title
  
  Sugaku Expositions 17
  
  Pages: 103-124
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440012
[Journal Article] A topic related to infinite-dimensional Lie superalgebras2003
- Author(s)
  Minoru Wakimoto
- Journal Title
  
  Cubo Mat.Educ. 5
  
  Pages: 167-196
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440012

1. 露峰茂明 (70197763)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. 辻正司 (20024482)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. 石谷寛 (80030790)

# of Collaborated Projects: 5 results

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4. 古関春隆 (60234770)

# of Collaborated Projects: 4 results

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5. YAMADA Mieko (70130226)

# of Collaborated Projects: 4 results

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6. 蟹江幸博 (10093121)

# of Collaborated Projects: 3 results

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7. OCHIAI Hiroyuki (90214163)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. KANEKO Masanobu (70202017)

# of Collaborated Projects: 3 results

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9. 谷口礼偉 (40157970)

# of Collaborated Projects: 2 results

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10. MIYAKAWA Tetsuro (10033929)

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11. KON-NO Takuya (00274431)

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12. SATO Eiichi (10112278)

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13. TAGAWA Hiroyuki (80283943)

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14. 土川真夫 (30024425)

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15. 菅野孝史 (30183841)

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16. 新田貴士 (20202244)

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17. 黒川都史子 (80024446)

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18. 谷口説男 (70155208)

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19. KAWASHIMA Shuichi (70144631)

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20. KUNITA Hiroshi (30022552)

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21. YOSHIKAWA Atushi (80001866)

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22. WAKAYAMA Masato (40201149)

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23. ISHIKAWA Masao (40243373)

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24. HASHIZUME Michihiko (50033890)

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25. MIDORIKAWA Hisaichi (80055318)

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26. 吉田英治 (20220626)

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27. KAGEI Yoshiyuki (80243913)

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28. 鈴木昌和 (20112302)

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29. OSHIMA Toshio (50011721)

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30. SHIMENO Nobukazu (60254140)

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31. 村田實 (50087079)

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32. 村上斉 (70192771)

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33. KOIKE Masao (20022733)

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34. NAGATOMO Kiyokazu (90172543)

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35. TAKATA Toshie (40253398)

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36. ASAKURA Masanori (60322286)

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WAKIMOTO Minoru 脇本 實

脇本 実 ワキモト ミノル

脇本 實 ワキモト ミノル

Research Projects

Research Products

Co-Researchers

Research of modular and quasimodular forms arising in various areas of mathematics and their application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation Theory of Infinite-Dimensional Lie Superalgebras and W-algebras and Their Mathematical ApplicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

conformal-super代数の表現論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometric Representation theory of reductive group

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theory of infinite-dimensional Lie algebras and superalgebras and its mathematical applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of dualities and of "infinite sum=infinite product" identities from the trace formula viewpoint

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

頂点作用素代数とソリトン方程式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Representation of superalgebras and their quantum groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ソリトン方程式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

モジュライ空間の幾何学的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Isotropicアフィン・スーパー代数の表現論とW代数及び保型函数の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

W代数の表現と共形場理論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

代数群と保型函数および志村多様体の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

WAKIMOTO Minoru 脇本實

脇本実ワキモトミノル

脇本實ワキモトミノル