Study of generalized Verma modules
| Project/Area Number |
20540011
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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 | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 一般化旗多様体 / 半単純リー群 / ユニタリ表現 / 一般化バルマ加群 / 有限W代数 / 一般化バルマ / 一般化Verma加群 |
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| Research Abstract |
We classified homomorphisms between scalar generalized modules associated with normal parabolic subalgebras of exceptional Lie algebras under the assumption that the infinitesimal characters are regular integral. We also studied Whittaker modules in the completion of generalized modules associated with parabolic subalgebras including Jacobi parabolic subalgebras of simple Lie algebras of the type C. We also obtained results on irreducibility of the Whittaker dual of principal series representations. We supported 49th joint Symposium on Real Analysis and Functional Analysis.
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Report
(6 results)
Research Products
(17 results)
