SHINODA Ken-ichi 筱田健一

… Alternative Names

篠田健一シノダケンイチ

筱田健一シノダケンイチ

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Researcher Number	20053712
Other IDs
Affiliation (based on the past Project Information) *help	1997 – 2015: 上智大学, 理工学部, 教授 2012: 上智大学, 理工学部, 名誉教授 1998: 上智大学理工学部, 教授 1997: 上智大学, 理工学部・数学科, 教授 1994 – 1995: 上智大学, 理工学部, 教授 1991 – 1993: 上智大学, 理工学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / Geometry / Geometry / 解析学
Keywords	Principal Investigator Kloosterman sum / coinvariant algebra / Gelfand-Graev representation / character sum / Gauss sum / unitary Kloosterman sum / Hilbert scheme of G-orbit / gaussian sum / ガウス和 / 指標和 … More / 有限群の表現論 / 有限群 / finite group / algebraic group / McKay correspondence / Hilbert scheme of G-orbits / almost character / 有限群の表現 / 表現 / 代数学 / ヘッケ環 / general linear group / zeta function / irreducible representation / finite reductive groups / クルースタマン和 / Gelfand-Graev表現 / 一般線型群 / ゼータ関数 / 既約表現 / 有限簡約群 / McKay corresondence / McKay correspndence / 中単指標 / クルスターマン和 / ヒルベルトスキーム / 有限簡約代数群 / SL(3,C)の有限部分群 / 余不変式環 / 有限簡約代教群 / Gelfand-Gracv representation / Character sum / unitary kloosterman sum / kloosterman sum / 指標 / 代数 / ゲルファンドーグラエフ表現 / 簡約代数群 / 群論 / シバレー群 / 実半単純リー環 / 指標表 / 代数群 / Hecke環 / Lusztig予想 / 巾学指標値 / F_4型Chevalley群 … More Except Principal Investigator 表現論 / 代数群 / ヘッケ環 / 対称空間 / 量子群 / 複素鏡映群 / 結晶基底 / Ariki-Koike algebra / 有限Chevalley群 / モジュライ / Green関数 / 指標層 / マルコフトレース / 超離散化 / 幾何結晶 / Shintani descent / 既約指標 / Hall-Littlewood関数 / Hecke環 / Stability / Abelian variety / McKay correspondence / マッカイ対応 / McKay対応 / アーベル多様体 / ガウス和 / 多面体表示 / cellular algebra / cyclotomic q-Schur algebra / 有限簡約群 / 熱帯化 / 古典群 / ワイル群 / finite symmetric space / finite reductive groups / cellular aloebras / Fock space / cyclotomic q-Scqur algebras / complex reflection groups / Hecke algebras / algebraic groups / Springer correspondence / generalized Green関数 / graded affine Hecke algebra / Schur-Weyl duality / modified Arki-Koik algebraSchur- / gneralizd Green関数 / フォック空間 / 積公式 / 分解定数 / cyclotomic q-Schur algerbra / 有限対称空間 / Fock空間 / Markov Trace / Hecke Akgebras / Algebraic Groups / Ultra-Discretizations / Tropicalization / Geometric Crystals / Crystal Bses / Quantum Grouos / Markov trace / 1の冪根 / Drinfeld 多項式 / tropical R / 完全結晶 / マルコフートレース / plurisubharmonicity / Bergman kernel / analytic Zariski decomposition / singular hermitian metrics / closed positive current / Kaehler-Einstein metrics / varieties of general type / pluricanonical systems / 双有理幾何学 / 代数多様体 / 剛性定理 / 乗数イデアル層 / モジュライ空間 / 一般型代数多様体 / ケーラーアインシュタイン計量 / ケーラー多様体 / 変形 / ベクトル束 / タイヒミュラー空間 / 多重標準系 / ベルグマン核 / 多重標準形 / 特異エルミート計量 / 不変測度 / 多重種数 / アインシュタイン計量 / ケーラー計量 / 標準束 / 多重標準写像 / Gauss sum / Hecke algebra / coinvariant algebra / Maximal Cyclic Representations / Polyhedral Realizations / Braid Groups / Crystal Bases / Quantum Groups / 1の巾根 / 組合せ論 / イプシロン因子 / ゼータ関数 / 極大巡回加群 / 極外ベクトル / coinvariant代数 / 極大巡回表現 / 組みひも群 / symmetric space / character sheaf / almost character / irreducible character / special linear group / Luszfig's conjecture / graded Hecke algebra / 一般Green関数 / Macdonald関数 / 概指標 / 特殊線形群 / Lusztig予想 / Quiver variety / Coinvariant algebra / Calabi-Yau Manifolds / Theta function / Compactification / Moduli / Abel 多様体 / レベルN構造 / 楕円曲線 / 一般化Whittaker模型 / Floer homology / Griffiths領域 / Abel多様体 / 余不変式環 / テータ関数 / Quiver多様体 / 余不変代数 / Calabi-Yau多様体 / データ関数 / コンパクト化 / Schur-Weyl reciprocity / Hall-Littlewood / Green / Hecke / Ariki-Koike algebras / representation theory / Complex reflection group / finite Cheralley group / Character table / 巡回Hecke環 / 長さ関数 / canonical basis / Kazhdan-Luszfig basis / 代数群の表現論 / Frobenius formula / 複数鏡映群 / Schur-Weylの相互律 / moduli / Simple singularity / Singularity / Representation / 横断性定理 / モノドロミ- / ハイパーケーラー多様体 / ツイスター空間 / トーリック多様体 / マッケイ対応 / ヒルベルトスキーム / スタビリィティ(安定性) / ヒルベルトスキーム / 商特異点 / 安定性 / Mackey反応 / 単純特異点 / 特異点 / ストリングC群 / 鏡映群 / 岩堀ヘッケ環 / トロピカルRマップ / イプシロン系 / 冪単結晶 / picture / トロピカルR写像 / クラスター代数 / ブリューワーセル / 一般化行列式 / トロピカルＲ写像 / 代数学 / Bruhat cell / 単項式表示 / 一般化小行列式 / トロピカルR行列 / Borel type subalgebra / 有限表現型 / Ariki-Koide algebra / Intersection cohomology / Kostka関数 / enhanced nilcone / Enhanced nilpotet cone / 円分q-シューア代数 / グリーン関数 / exotic nilcone / Springer対応 / exotic 対称空間 / Kostka多項式 / Tropical R map / 保型形式 / Tropical R写像 / 点色対称グラフ / 環空間 / 付値環 / 巾単指標 / F_4型 / 指標表 / 有限シュバレー群 / リー代数 / 双曲・双曲型微分方程式 / オイラー公式 / カラビ・ヤウ多様体 / チャーン類 / 共形チャーン類 / 階別リー環 / フラクタル / 調和解析 / 特殊関数 / 等質空間 / 線型代数群 / 次数付きリ一環 / 巾等元 / 頂点作用素 / アフィンリ一環 / カッツ・ム-ディ- リ一環 Less

Representation theory of Iwahori-Hecke algebras and reflection groups
- Principal Investigator
  
  Gomi Yasushi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Construction of tropical R maps on geometric crystals and its applications to crystal bases
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation of finite groups, character sums, and their applicationsPrincipal Investigator
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation theory of algebraic groups, quantum groups and Hecke algebras
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Construction of affine geometric crystals and Representation theory of crystal bases
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representations of finite reductive groups and applicationsPrincipal Investigator
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation theory of algebraic groups, Hecke algebras and canpex refiecion groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Piecewise Linear Representation Theory of Quantum Groups and Geometric Crystals
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Study of moduli spaces of projective varieties of general type
- Principal Investigator
  
  TSUJI Hajime
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Sophia University
A Study on the zeta functions attached with the irreducible representations of finite reductive groupsPrincipal Investigator
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation theory of algebraic groups, Hecke algebras and complex reflection groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
  Tokyo University of Science
Combinatorial Representation Theory of Quantum Groups
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
A STUDY ON THE GEOMETRY OF MODULI SPACES
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  HOKKAIDO UNIVERSITY
Study on representations of algebraic groups and finite groups, and applicationsPrincipal Investigator
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation theory of finite algebraic groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  SCIENCE UNIV.OF TOKYO
Studies on Representations of Finite Groups and ApplicationsPrincipal Investigator
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Study of singularities and geometry by means of representation theory
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
代数群の表現とその応用の研究Principal Investigator
- Principal Investigator
  
  筱田健一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
リー代数とその応用の研究
- Principal Investigator
  
  横沼健雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
代数群の表現とその応用Principal Investigator
- Principal Investigator
  
  筱田健一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
対称空間の構造論の応用
- Principal Investigator
  
  長野正
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Sophia University
リ一環とその応用
- Principal Investigator
  
  YOKONUMA Takeo
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Sophia University
等質空間の調和解析
- Principal Investigator
  
  高橋禮司
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Sophia University

All 2013 2012 2011 2010 2009 2007 Other

All Journal Article Presentation

[Journal Article] Number of solutions of equations of Weil type on finite symmetric matrices2013
- Author(s)
  Ma. N. M. Abara and K. Shinoda
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 438 Pages: 4322-4334
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Journal Article] Number of solutions of equations of Weil type on finite symmetric matrices2013
- Author(s)
  K. Shinoda (with Ma. N. M. Abara)
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 438 Pages: 4322-4334
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540026
[Journal Article] Number of solutions of equations of Weil type on finite symmetric matrices2013
- Author(s)
  Ma. N. M. Abara and Ken-ichi Shinoda
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: vol.438 Pages: 4322-4334
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Journal Article] Gauss sums on finite groups2012
- Author(s)
  Yasushi Gomi, Taiki Maeda and Ken-ichi Shinoda
- Journal Title
  
  Tokyo J. Mathematics
  
  Volume: vol. 35 Pages: 165-179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Journal Article] Gauss sums on finite groups2012
- Author(s)
  Y. Gomi, T. Maeda and K. Shinoda
- Journal Title
  
  Tokyou Journal of Mathematics
  
  Volume: 35 Pages: 165-179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540026
[Journal Article] Gauss sums on finite groups2012
- Author(s)
  Y. Gomi, T. Maeda and K. Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 35 Pages: 165-179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540031
[Journal Article] Gauss sums on finite groups2012
- Author(s)
  Y. Gomi, T. Maeda and K. Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 35 Pages: 165-179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Journal Article] Gauss sums and Gelfand-Graev representations2007
- Author(s)
  Ken-ichi Shinoda
- Journal Title
  
  第10 回代数群と量子群の表現論研究集会報告集 10巻
  
  Pages: 154-162
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Gauss sums and Gelfand-Graev representations2007
- Author(s)
  K. Shinoda
- Journal Title
  
  第10回代数群と量子群の表現論研究集会報告集 10
  
  Pages: 154-162
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Representations of the Hecke algebra for GL_4 (q)
- Author(s)
  K.Shinoda
- Journal Title
  
  J. of Algebra and Its Applications To appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Representations of the Hecke algebra for GL_4(q)
- Author(s)
  K.Shinoda
- Journal Title
  
  J.of Algebra and Its Applications (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Gauss sums of finite groups
- Author(s)
  Y.Gomi, T.Maeda, K.Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: (35巻掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Gauss sums on finite reductive groups and character sums2013
- Author(s)
  Ken-ichi Shinoda
- Organizer
  The 55^<th> KPPY Combinatorics Seminar
- Place of Presentation
  Yeungnam University、Korea
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Gauss sums on finite reductive groups and character sums2013
- Author(s)
  Ken-ichi Shinoda
- Organizer
  The 55th KPPY Combinatorics Seminar
- Place of Presentation
  Yeungnam University, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] Gauss sums on finite groups and Hecke algebras2012
- Author(s)
  Ken-ichi Shinoda
- Organizer
  Conference on Representation Theory of Chevalley Groups and Related Topics
- Place of Presentation
  名古屋大学
- Year and Date
  2012-03-12
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Gauss sums on finite groups and Hecke algebras2012
- Author(s)
  筱田健一
- Organizer
  Conference on Representation Theory of Chevalley Groups and Related Topics
- Place of Presentation
  名古屋大学(招待講演)
- Year and Date
  2012-03-12
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Gauss sums on finite groups and Hecke algebras2012
- Author(s)
  筱田　健一
- Organizer
  Conference on Representation Theory of Chevalley Groups and Related Topics(招待講演)
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] Characters of endomorphism algebras of Gelfand-Graev representations2011
- Author(s)
  筱田健一
- Organizer
  Shanghai workshop on representation theory
- Place of Presentation
  East China Normal Univ.(招待講演)
- Year and Date
  2011-12-10
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Characters of endomorphism algebras of Gelfand - Graev representations2011
- Author(s)
  Ken-ichi Shinoda
- Organizer
  Shanghai workshop on representation theory
- Place of Presentation
  East China Normal Univ
- Year and Date
  2011-12-10
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Characters of endomorphism algebras of Gelfnd-Graev representations2011
- Author(s)
  筱田　健一
- Organizer
  Shanghai workshop on representation theory(招待講演)
- Place of Presentation
  East China Normal Univ.
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] Gauss sums on finite groups2010
- Author(s)
  筱田健一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] 有限群のガウス和2009
- Author(s)
  K.Shinoda
- Organizer
  「ゲーム理論と表現論」研究集会
- Place of Presentation
  稚内北星学園大学
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-21540024
[Presentation] Gaus sums and Gelfand-Graev representations2007
- Author(s)
  K Shinoda
- Organizer
  第10回代数群と量子群の表現論研究集会
- Place of Presentation
  上智軽井沢セミナーハウス
- Year and Date
  2007-06-02
- Data Source
  KAKENHI-PROJECT-18540047
[Presentation] Gauss sums andGelfand-Graev representations2007
- Author(s)
  Ken-ichi Shinoda
- Organizer
  第10 回代数群と量子群の表現論研究集会
- Place of Presentation
  上智軽井沢セミナーハウス
- Year and Date
  2007-06-02
- Data Source
  KAKENHI-PROJECT-18540047
[Presentation] Gauss sums on finite reductive groups and character sums
- Author(s)
  Ken-ichi Shinoda
- Organizer
  The 55th KPPY Combinatorics Seminar
- Place of Presentation
  Yeungnam University, Korea
- Data Source
  KAKENHI-PROJECT-21540024

1. GOMI Yasushi (50276515)

# of Collaborated Projects: 11 results

# of Collaborated Products: 5 results
2. NAKASHIMA Toshiki (60243193)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
3. YOKONUMA Takeo (00053645)

# of Collaborated Projects: 9 results

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4. WADA Hideo (10053662)

# of Collaborated Projects: 6 results

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5. TSUZUKI Masao (80296946)

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6. 金行壯二 (40022553)

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7. 長野正 (10189144)

# of Collaborated Projects: 5 results

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8. ATIKI Susumu (40212641)

# of Collaborated Projects: 4 results

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9. SHOJI Toshiaki (40120191)

# of Collaborated Projects: 4 results

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10. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 3 results

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11. 岩堀長慶 (60011417)

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12. OKADA Soichi (20224016)

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13. MIYACHI Hyoe (90362227)

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14. NAKAMURA Iku (50022687)

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15. SUWA Tatsuo (40109418)

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16. KATSURA Toshiyuki (40108444)

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17. EGUCHI Tohru (20151970)

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18. HAMAHATA Yoshinori (90260645)

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19. AGOH Takashi (60112893)

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20. GOTO Satoshi (00286759)

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21. KAWANAKA Noriaki (10028219)

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22. GYOJA Akihiko (50116026)

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23. 高橋禮司 (80159003)

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24. 加藤昌英 (90062679)

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25. 並河良典 (80228080)

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26. 島田伊知朗 (10235616)

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27. 山下博 (30192793)

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28. IYAMA Osamu (70347532)

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29. ISHI Hideyuki (00326068)

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30. KOMORI Ysushi (80343200)

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31. NAGAO Kentaro (10585574)

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32. TANISAKI Toshiyuki (70142916)

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33. KANEDA Masaharu (60204575)

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34. WADA Kentaro (60583862)

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35. OKA Mutsuo (40011697)

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36. ISHIKAWA Goo (50176161)

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37. HOSOH Toshio (30130339)

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38. NAKAJIMA Hiraku (00201666)

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39. SAITO Masahiko (80183044)

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40. UZAWA Tohru (40232813)

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41. TSUJI Hajime (30172000)

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42. FUTAKI Akito (90143247)

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43. ISHII Shihoko (60202933)

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45. 大内忠 (00087082)

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60. 藤田隆夫 (40092324)

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61. Ma. Louise Antonette N. De Las Penas

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62. Loyola Mark L.

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SHINODA Ken-ichi 筱田 健一

篠田 健一 シノダ ケンイチ

筱田 健一 シノダ ケンイチ

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Representation of finite groups, character sums, and their applicationsPrincipal Investigator

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Representations of finite reductive groups and applicationsPrincipal Investigator

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A Study on the zeta functions attached with the irreducible representations of finite reductive groupsPrincipal Investigator

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Study on representations of algebraic groups and finite groups, and applicationsPrincipal Investigator

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SHINODA Ken-ichi 筱田健一

篠田健一シノダケンイチ

筱田健一シノダケンイチ