2011 Fiscal Year Final Research Report
Cohomology of finite groups from the view point of representation theory
| Project/Area Number |
21540007
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Saitama University |
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Principal Investigator |
HIDA Akihiko 埼玉大学, 教育学部, 准教授 (50272274)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 有限群 / 表現論 / コホモロジー |
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| Research Abstract |
We studied the cohomology theory of finite groups and finite dimensional algebras using methods of representation theory. We considered the varieties of modules defined by Hochschild cohomology and the rank varieties of modules over exterior algebras or graded Hopf algebras. In particular, we obtained some results on tensor products of modules. On the other hand, we studied the action of double Burnside algebra on the mod-p cohomology algebra of a finite group and obtained some results on composition factors.
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