Geometric structures of non-symmetric spherical manifolds by strongly visible actions
| Project/Area Number |
22740029
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Tokai University (2011)
Waseda University (2010) |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 群の表現論・複素多様体 / 無重複表現 / 可視的作用 / カルタン分解の一般化 / 球等質空間 / 表現論 / 複素多様体 / 球多様体 / スライス |
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| Research Abstract |
We study non-symmetric spherical homogeneous spaces of complex semisimple Lie groups by strongly visible actions. We treat spherical and 4-symmetric space and a certain Cayley-type spherical variety which are irreducible affine homogeneous spaces and spherical complex nilpotent orbits in a complex semisimple Lie algebra which are quasi-affine. Further, we give a concrete description of a slice which meets every orbit.
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Report
(3 results)
Research Products
(32 results)
