GOMI Yasushi 五味靖

… Alternative Names

五味靖ゴミヤスシ

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Researcher Number	50276515
Other IDs
Affiliation (Current)	2023: 上智大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2011 – 2021: 上智大学, 理工学部, 准教授 2006 – 2010: Sophia University, Science and Thechnology, Lecturer 1997 – 2006: 上智大学, 理工学部, 助手 1995: 上智大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related
Keywords	Principal Investigator 表現論 / 代数群 / Hecke環 / 鏡映群 / 有限群 / 代数的組合せ論 / Dynkin図形 / McKay対応 / G-Hilbert scheme / coinvariant algebra … More / 組みひも群 / 岩堀ヘッケ環 / マルコフトレース / ガウス和 / ストリングC群 … More Except Principal Investigator ヘッケ環 / 代数学 / 結晶基底 / coinvariant algebra / 幾何結晶 / ガウス和 / 量子群 / character sum / Gelfand-Graev representation / Kloosterman sum / Gauss sum / 有限群 / 代数群 / 有限群の表現論 / 指標和 / 超離散化 / 熱帯化 / gaussian sum / Hilbert scheme of G-orbit / unitary Kloosterman sum / 表現 / 有限群の表現 / マルコフトレース / 多面体表示 / 一般化小行列式 / 単項式表示 / クラスター代数 / 整数論 / ガロア理論 / アルゴリズム / almost character / Hilbert scheme of G-orbits / McKay correspondence / algebraic group / finite group / ゼータ関数 / 指標表 / 実半単純リー環 / シバレー群 / 群論 / 簡約代数群 / ゲルファンドーグラエフ表現 / グリーン函数 / 相対跡公式 / 一般超幾何級数 / エル関数 / L函数 / 一般超幾何関数 / 指数和 / グリーン関数 / L関数 / L-関数 / Tropical R写像 / 保型形式 / Tropical R map / 代数 / 指標 / トロピカルR行列 / Bruhat cell / ワイル群 / トロピカルＲ写像 / 一般化行列式 / ブリューワーセル / トロピカルR写像 / picture / 冪単結晶 / イプシロン系 / トロピカルRマップ / kloosterman sum / unitary kloosterman sum / Character sum / Gelfand-Gracv representation / 有限簡約代教群 / 余不変式環 / SL(3,C)の有限部分群 / 有限簡約代数群 / ヒルベルトスキーム / クルスターマン和 / 中単指標 / McKay correspndence / McKay corresondence / 組みひも群 / 極大巡回表現 / coinvariant代数 / 表現論 / 極外ベクトル / 極大巡回加群 / イプシロン因子 / 組合せ論 / 1の巾根 / Quantum Groups / Crystal Bases / Braid Groups / Polyhedral Realizations / Maximal Cyclic Representations / Hecke algebra / 有限簡約群 / 既約表現 / 一般線型群 / Gelfand-Graev表現 / クルースタマン和 / finite reductive groups / irreducible representation / zeta function / general linear group / マルコフートレース / 完全結晶 / tropical R / Drinfeld 多項式 / 1の冪根 / Markov trace / Hecke環 / Quantum Grouos / Crystal Bses / Geometric Crystals / Tropicalization / Ultra-Discretizations / Algebraic Groups / Hecke Akgebras / Markov Trace / ２重Bruhat cell / potential / 2重Bruhat cell / double Bruhat cell / 一般小行列式 / Double Bruhat cell / tropicalization / Demazure結晶 / 単項式教示 Less

Research on arithmetic of number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  角皆宏
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
Representation theoretical Research on Cluster algebras and crystal bases
- Principal Investigator
  
  Nakashima Toshiki
- Project Period (FY)
  2015 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representation theory of Iwahori-Hecke algebras and reflection groupsPrincipal Investigator
- 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
A computational research on number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- 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 applications
- 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
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 applications
- 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
Green functions and relative trace formulas
- Principal Investigator
  
  TSUZUKI Masao (MASAO Tsuzuki)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia 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
A Study on the zeta functions attached with the irreducible representations of finite reductive groups
- 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
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
Hecke環及び組みひも群の表現論Principal Investigator
- Principal Investigator
  
  五味靖
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Study on representations of algebraic groups and finite groups, and applications
- 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
Lie型有限群とHecke環の表現論Principal Investigator
- Principal Investigator
  
  五味靖
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Studies on Representations of Finite Groups and Applications
- 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
代数群の表現とその応用の研究
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University

All 2016 2013 2012 2010 2007 2006 2004 Other

All Journal Article Presentation

[Journal Article] Gauss sums on the Iwahori-Hecke algebras of type $A$2016
- Author(s)
  Y. Gomi
- Journal Title
  
  Tokyo J.Math.
  
  Volume: 39
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540026
[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 on finite groups2012
- Author(s)
  Yasushi Gomi, Taiki Maeda, Ken-ichi Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 35 Pages: 165-179
- DOI
  10.3836/tjm/1342701349
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540032, KAKENHI-PROJECT-23224001
[Journal Article] The Markov traces on Iwahori-Hecke algebras and cyclotomic Hecke algebras2007
- Author(s)
  Y. Gomi
- 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: 21-35
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Gomi, Yasushi
- Journal Title
  
  J. Algebra 303, no.2
  
  Pages: 566-591
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Y.Gomi
- Journal Title
  
  Journal of Algebra 303
  
  Pages: 566-591
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540039
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Y., Gomi
- Journal Title
  
  Journal of Algebra 303
  
  Pages: 566-591
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540039
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Yasushi Gomi
- Journal Title
  
  Journal of Algebra vol.303
  
  Pages: 566-591
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Gomi, Yasushi
- Journal Title
  
  Journal of Algebra 303,2
  
  Pages: 566-591
- Data Source
  KAKENHI-PROJECT-16540039
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Yasushi Gomi
- Journal Title
  
  J. Algebra 303(2)
  
  Pages: 566-591
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] The Markov traces and the Fourier transforms2006
- Author(s)
  Yasushi Gomi
- Journal Title
  
  J. Algebra 303
  
  Pages: 566-591
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] The Fourier transforms determine the Markov traces2006
- Author(s)
  Yasushi Gomi
- Journal Title
  
  数理解析研究所講究録 no. 1497
  
  Pages: 71-78
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Coinvariant algebras of finite subgroups of SL(3,C)2004
- Author(s)
  Y.Gomi
- Journal Title
  
  Canadian J.of Math. 56
  
  Pages: 495-528
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Coinvariant algebras of finite subgroups of SL (3, C)2004
- Author(s)
  Y.Gomi
- Journal Title
  
  Canadian J. Math. 56-3
  
  Pages: 495-528
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Coinvariant algebras of finite subgroups of SL(3,C)2004
- Author(s)
  Y.Gomi
- Journal Title
  
  Canadian J.Math. 56-3
  
  Pages: 495-528
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Gauss sums on finite groups
- Author(s)
  Y.Gomi, T.Maeda, K.Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: (掲載決定済未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540032
[Journal Article] Gauss sums on finite groups
- Author(s)
  Y.Gomi
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: (to appear 未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540024
[Journal Article] Gauss sums on finite groups
- Author(s)
  Y.Gomi, T.Maeda, K.Shinoda
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540032
[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] Determination of string C-Groups of order 10242016
- Author(s)
  Y. Gomi
- Organizer
  Discrete Mathematics and Applications
- Place of Presentation
  University of the Philippines Diliman (Philippines)
- Year and Date
  2016-01-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] Gauss sums on the Iwahori-Hecke algebras of type $A$2016
- Author(s)
  五味靖
- Organizer
  研究集会「Tokyo Journal of Mathematics 筱田記念号刊行に寄せて」
- Place of Presentation
  上智大学 (東京都・千代田区)
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] q-analogue of Gauss sums on the symmetric groups2013
- Author(s)
  Yasushi Gomi
- Organizer
  The 55th KPPY Combinatorics Seminar
- Place of Presentation
  Yeungnam University, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] 対称群上のGauss和のq類似2012
- Author(s)
  五味靖
- Organizer
  日本数学会2012年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540026
[Presentation] Gauss sums on finite groups2010
- Author(s)
  筱田健一, 五味靖, 前田大貴
- Organizer
  日本数学会2010年度秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] The Markov traces on Iwahori-Hecke algebras and cyclotomic Hecke algebras2007
- Author(s)
  Yasushi Gomi
- 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
  2007-05-31
- Data Source
  KAKENHI-PROJECT-18540047
[Presentation] The Markov traces and Lusztig's Fourier transforms2006
- Author(s)
  Yasushi Gomi
- Organizer
  2006 年度日本数学会年会
- Place of Presentation
  中央大学
- Data Source
  KAKENHI-PROJECT-18540047
[Presentation] q-analogue of Gauss sums on the symmetric groups
- Author(s)
  Yasushi Gomi
- Organizer
  The 55th KPPY Combinatorics Seminar
- Place of Presentation
  Yeungnam University （韓国）
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] 対称群上のGauss和のq類似
- Author(s)
  五味靖
- Organizer
  日本数学会2012年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22540032

1. SHINODA Ken-ichi (20053712)

# of Collaborated Projects: 11 results

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

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. TSUZUKI Masao (80296946)

# of Collaborated Projects: 9 results

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

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. WADA Hideo (10053662)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. NAKASUJI Maki (30609871)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. MORIYAMA Tomonori (80384171)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. UMEGAKI Atsuki (60329109)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. GOTO Satoshi (00286759)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. KOMATSU Toru (10403974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. RIKUNA Yuichi (10434309)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. HOSHI Akinari (50434262)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 金行壮二 (40022553)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 長野正 (10189144)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 並河良典 (80228080)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 古閑義之 (20338429)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Ma. Louise Antonette N. De Las Penas

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. Loyola Mark L.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

GOMI Yasushi 五味 靖

五味 靖 ゴミ ヤスシ

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Representation theory of Iwahori-Hecke algebras and reflection groupsPrincipal Investigator

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Hecke環及び組みひも群の表現論Principal Investigator

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GOMI Yasushi 五味靖

五味靖ゴミヤスシ