2015 Fiscal Year Final Research Report
Representations of Frobenius algebras
| Project/Area Number |
25400036
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Tokyo University of Agriculture and Technology |
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Principal Investigator |
Yamagata Kunio 東京農工大学, 工学(系)研究科(研究院), 名誉教授 (60015849)
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| Co-Investigator(Renkei-kenkyūsha) |
KIYITA Masao 東京医科歯科大学, 教養部, 教授 (50214911)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | 多元環 / 加群 / 表現 / 圏 |
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| Outline of Final Research Achievements |
We studied Frobenius algebras and Morita algebras, giving applications of them. One of the main results is a characterization of Frobenius algebras with some section in the AR quiver, and the other is a characterization for the endomorphism algebras of generators to be Morita algebras, which clarifies a relation between Morita algebras and hygher Auslander algebras. We described the Cartan matrices of blocks of some group algebras by using the dimensions of simple modules.
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| Free Research Field |
代数学
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