Rchr

J-GLOBAL ID：200901010238520987 Update date: Jul. 16, 2024

Koshitani Shigeo

コシタニシゲオ | Koshitani Shigeo

Affiliation and department：
Job title： Chiba University
Homepage URL (2)： http://www.math.s.chiba-u.ac.jp/~koshitan/index.html , http://www.math.s.chiba-u.ac.jp/~koshitan/index-e.html

Research field (1)： Algebra

Research keywords (2)：有限群と多元環の表現論 Representation Theory of Finite Groups and Algebras , Representation Theory of Finite Groups and Algebras

Research theme for competitive and other funds (37)：

2019 - 2023 有限群の表現論における局所大域予想
2015 - 2018 Broue's conjecture in representation theory of finite groups and related topics
2011 - 2015 Solution of Broue's conjecture in representation theory of finite groups
2009 - 2011 Representation theoretical research on algebraic structures of rings and module categories
2008 - 2010 Solution of Broue's conjecture in representation Theory of finite groups

2007 - 2010 Study on algebraic or combinatorial structures whose automorphism groups contain finite simple groups

2006 - 2008 Synthetical study of ring and representation Theory based on Quasi-Frobenius rings

2005 - 2007 Solution of Broue's conjecture in representation theory of finite groups

2003 - 2006 Research on the associated graded ring of a general filtration

2003 - 2006 Finite Simple Groups and Related Codes, Lattices and Vertex Operator Algebras

2002 - 2005 Applications of Cohomology groups and Shintani descent to Broue's conjecture

2002 - 2004 For the solution of Broue's conjecture in representation theory of finite groups

2002 - 2004 Structure theory and rerpresentation theory of noncommutative rings

2001 - 2003 Induced modules over group algebras and induced characters of finite groups

2000 - 2002 Finite Simple Groups and Related Codes, Lattices and Vertex Operator Algebras

1999 - 2002 Analysis of Filtrations in Local Rings and the Associated graded rings

1999 - 2001 Application of Shintani descent to the perfect isometry problem and Dade's conjecture

1999 - 2000 RESEARCH ON THE MODULAR REPRESENTATIONS OF FINITE GROUPS

1999 - 2000 On the structure of a character ring of a finite group

1998 - 1999 Algebraic structure and representations

1997 - 1999 Finite Groups (Sporadic Simple Groups) and Related Topics

1996 - 1996 多変数保型形式

1995 - 1995 葉層構造論の応用

1995 - 1995 群構造と表現

1995 - 1995 代数曲面から導れる可積分系

1994 - 1994 K3曲面の族から導かれる可積分系

1994 - 1994 群と多元環とこれら代数系の応用について

1993 - 1993 周期写像の代数的および超越的性質の研究

1992 - 1992 代数学と幾何学における表現論とその応用

1992 - 1992 多様体上の種々の構造

1991 - 1991 PicardーFuchs方程式の数論的幾何学的性質の研究

1991 - 1991 環および余環の拡大の研究

1990 - 1990 多元環と多様体における代数的側面と幾何的側面

1989 - 1990 Potential Theory and its Applications

1989 - 1989 群と環の表現における代数的構造と幾何的構造

1987 - 1987 代数多様体と周期微分方程式

1983 - 1983 対称多元環, 特に群多元環の構造についての研究

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Papers (33)：

Shigeo Koshitani, İpek Tuvay. Recognition of Brauer indecomposability for a Scott module. Journal of Algebra and Its Applications. 2023
Shigeo Koshitani, Ipek Tuvay. The Brauer indecomposability of Scott modules with wreathed 2-group vertices. Rocky Mountain Journal of Mathematics. 2022
Shigeo Koshitani, İpek Tuvay. Brauer indecomposability of Scott modules with semidihedral vertex. Proceedings of the Edinburgh Mathematical Society. 2021. 1-9
Shigeo Koshitani, Caroline Lassueur. Trivial source characters in blocks with cyclic defect groups. Journal of Algebra. 2021. 574. 375-408
Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale. Splendid Morita equivalences for principal blocks with semidihedral defect groups. Proceedings of the American Mathematical Society. 2021. 1-1

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MISC (83)：

Koshitani Shigeo. Blocks with defect groups which have cyclic subgroups of index $p$ (Cohomology Theory of Finite Groups and Related Topics). 2008. 1581. 20-22
KOSHITANI S. Broue's abelian defect group conjecture holds for the Janko simple group J_4. J. Pure Appl. Algebra. 2008. 212. 1438-1456
Koshitani Shigeo. The Isaacs corresponding blocks of finite groups(Group Theory and Related Topics). RIMS Kokyuroku. 2007. 1564. 58-60
ME Harris, S Koshitani. An extension of Watanabe's theorem for the Isaacs-Horimoto-Watanabe corresponding blocks. JOURNAL OF ALGEBRA. 2006. 296. 1. 96-109
S Koshitani, M Linckelmann. The indecomposability of a certain bimodule given by the Brauer construction. JOURNAL OF ALGEBRA. 2005. 285. 2. 726-729

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Lectures and oral presentations (22)：

A principal block with a few characters
(Darstellungstheorietage (Representation Theory Days) 2019,Jena University, Germany 2019)
Block equivalences and block invariants
(Oberseminar on Block Theory,Technical University of Kaiserslautern University,Germany 2019)
Small blocks
(Darstellungstheorietage (Representation Theory Days) 2018,Hannover,Germany 2018)
Splendid Morita equivalences for principal blocks
(2018)
Simple modules over finite group algebras in the Auslander-Reiten quivers
(Algebra and Number Theory Seminar, Bergische University Wuppertal,Germany 2017)

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Works (4)：

Infinite Representation Type for Group Algebras of Finite Groups
1973 - 2017
有限群の群多元環上の無限型表現
1973 - 2017
Block Theory of Finite Groups
1999 - 2006
有限群のブロック理論
1999 - 2006

Professional career (1)：

The principal 2-blocks of finite groups with abelian sylow 2-subgroups (University of Tsukuba)

Committee career (1)：

2005/07 - 2007/06 Mathematical Society of Japan Editor-in-chief of the Journal "Sugaku" isuued by the Mathematical Society of Japan

Association Membership(s) (1)：

日本数学会

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