2012 Fiscal Year Final Research Report
Orbit decomposition of multiple flag varieties
| Project/Area Number |
22540016
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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 | Ryukoku University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 代数群 |
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| Research Abstract |
We described orbits on a typical triple flag variety of orthogonal group of odd degree. This result holds over an arbitrary field of characteristic not two. As byproducts, we obtained orbit decompositions of the flag variety for the general linear group by various subgroups. We also computed number of orbits and number of elements in each orbits when the field is finite.
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