2015 Fiscal Year Final Research Report
Geometry of semi-infinite flag varieties and level-zero representation theory of quantum affine algebras
| Project/Area Number |
26887002
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Tokyo Denki University (2015)
Tohoku University (2014) |
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Principal Investigator |
Ishii Motohiro 東京電機大学, 情報環境学部, 助教 (00732463)
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| Project Period (FY) |
2014-08-29 – 2016-03-31
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| Keywords | 量子アフィン展開環 / 半無限Bruhatグラフ |
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| Outline of Final Research Achievements |
1. A gallery model for level-zero representations: We introduce a gallery model for crystal bases of level-zero extremal weight modules over quantum affine algebras.
2. Construction and classification of holomorphic VOA of central charge 24: We classify holomorphic VOAs of central charge 24 obtained by applying Miyamoto's $\mathbb{Z}_3$-orbifold construction.
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| Free Research Field |
量子アフィン展開環の表現論
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