Reseach on representations of association schemes
| Project/Area Number |
25400011
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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 | Shinshu University |
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Principal Investigator |
HANAKI Akihide 信州大学, 学術研究院理学系, 教授 (50262647)
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| Research Collaborator |
YOSHIKAWA Masayoshi 兵庫教育大学, 学校教育研究科, 准教授 (10757743)
SHIMABUKURO Osamu 長崎大学, 教育学部, 准教授 (40413736)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 代数学 / 組合せ論 / アソシエーション・スキーム / 表現 / 加群 / モジュラー表現 / 標準加群 / 代数的組合せ論 / coherent configuration / association scheme / modular representation / coherent confuguration |
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| Outline of Final Research Achievements |
We studied on representations of association schemes and coherent configurations, especially modular representations. Their adjacency algebras are non semisimple, in general, and not studied so well. We computed some examples: half-cases, cyclotomic association schemes, and coherent configurations which correspond to symmetric designs. Also we studied [1] possibility of 6 dimensional non-commutative association schemes (with P.-H. Zieschang) [2] precise version of Clifford theorem for association schemes (with Y. Miyazaki) [3] block version of Maschke's theorem for association schemes.
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Report
(5 results)
Research Products
(21 results)
