Cohomology of finite groups from the view point of representation theory
| Project/Area Number |
21540007
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Saitama University |
|---|
Principal Investigator |
HIDA Akihiko 埼玉大学, 教育学部, 准教授 (50272274)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2010: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2009: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
|
|---|
| Keywords | 有限群 / 表現論 / コホモロジー / 代数学 / バーンサイド環 / fusion / Burnside環 / 有限次元多元環 / ブロックイデアル / fusion system / 加群の多様体 |
|---|
| 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.
|
Report
(4 results)
Research Products
(9 results)
