2012 Fiscal Year Final Research Report
Research on representations and categories of association schemes
| Project/Area Number |
21540011
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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 |
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| Project Period (FY) |
2009 – 2012
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| Keywords | アソシエーション / スキーム / 表現 / 圏 |
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| Research Abstract |
A category of association schemes was defined and some notions were understood categorically. Clifford theory of association schemes and their strongly normal closed subsets was proved. Also a dual, induction and restriction are exchanged, of Clifford theory of association schemes and their algebraic fusions was proved. Some Terwilliger algebras and integral standard generalized table algebras were obtained.
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