| Project/Area Number |
22540013
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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 | Shinshu University |
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Principal Investigator |
SASAKI Hiroki 信州大学, 全学教育機構, 教授 (60142684)
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| Co-Investigator(Renkei-kenkyūsha) |
WATANABE Atumi 熊本大学, 理学部, 教授 (90040120)
OKUYAMA Tetsuro 北海道教育大学, 教育学部, 教授 (60128733)
HIDA Akihiko 埼玉大学, 教育学部, 教授 (50272274)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | コホモロジー環 / ブロック・イデアル / 有限群 / ソース多元環 / ディフェクト群 / ブロッタ・イデアル |
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| Research Abstract |
Block ideals are main objects to be investigated in representation theory of finite groups. In this study we gave a characterization of cohomology rings of block ideal in terms of source algebras of block ideals. Source algebras are so important invariants of block ideals. However it is so hard to treat with them; we gave a cohomological criterion for analyzing source algebras. Applying these results to block ideals of tame representation type, we investigated cohomology rings and source algebras.
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