2015 Fiscal Year Final Research Report
Combinatorics arising from modular representations of symmetric groups
| Project/Area Number |
24540020
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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 | Okayama University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
MIZUKAWA Hiroshi 防衛大学校, 数学教育室, 准教授 (60531762)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | シューア函数 / ヤング図形 / 対称群 |
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| Outline of Final Research Achievements |
We derived the determinant of the matrices related to the character tables of the symmetric groups. We also gave a (q,t) analogue of a well-known partition identity. In connection with the affine Lie algebras, we found an interesting Schur function identities, which arose from the basic representation of the affine Lie algebra.
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| Free Research Field |
表現論，組合せ論
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