2012 Fiscal Year Final Research Report
A noncommutative extension of the coincidence of dimensions
| Project/Area Number |
22540003
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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 | Muroran Institute of Technology |
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Principal Investigator |
MORITA Hideaki 室蘭工業大学, 工学研究科, 准教授 (90435412)
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| Project Period (FY) |
2010 – 2012
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| Keywords | (非可換)対称函数 / 対称群 / 次数表現 |
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| Research Abstract |
The Springer modules for the symmetric group have a certaincombinatorial property called the coincidence of dimensions. The reporter succeeded ingiving the property an interpretations in terms of representation theory of the symmetricgroup, based on the factorization formula for the Hall-Littlewood functions. In this study, Ihave intended to extend this theory in a noncommutative setting, and have succeeded ingiving a proper noncommutative extension of the Hall-Littlewood functions in my point ofview.
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