2011 Fiscal Year Final Research Report
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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| 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 |
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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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