2015 Fiscal Year Final Research Report
Orbit decomposition of multiple flag varieties
| Project/Area Number |
25400030
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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) |
2013-04-01 – 2016-03-31
|
| Keywords | 古典群 / 代数群 |
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| Outline of Final Research Achievements |
For a multiple flag variety (a direct product of flag varieties) of split orthogonal groups of odd degree over an infinite field of characteristic not two, we gave the necessary and sufficient condition for the finiteness of G-orbits under the diagonal action. For general linear groups and symplectic groups (over an algebraically closed fields), the conditions were given by Magyar-Weyman-Zelevinsky. It seems we can also solve the even-degree case by the same method.
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| Free Research Field |
リー群論、代数群論
|
