2011 Fiscal Year Final Research Report
D-modules on infinite-dimensional algebraic varieties and their application to representation theory
| Project/Area Number |
21654005
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Osaka City University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KANEDA Masaharu 大阪市立大学, 大学院・理学研究科, 教授 (60204575)
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| Co-Investigator(Renkei-kenkyūsha) |
KASHIWARA Masaki 京都大学, 数理解析研究所, 教授 (60027381)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 代数解析 |
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| Research Abstract |
The main purpose of this research was to give a proof of the character formula for irreducible highest weight modules over affine Lie algebras at the critical levels. We could not solve the problem itself ; however, we investigated the related problems concerning the quantum groups at roots of 1, and obtained several results such as the localization theorem on flag manifolds and the structure theorem for the center.
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