Orbit decomposition of multiple flag varieties
| Project/Area Number |
16K05084
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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) |
2016-04-01 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 古典群 / 直交群 / 旗多様体 / 代数群 |
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| Outline of Final Research Achievements |
Let G be the split orthogonal group over an infinite field F of characteristic not two. We completely classified multiple flag varieties (direct products of flag varieties) of G of finite type. Here a multiple flag variety M is said to be of finite type when M has a finite number of G-orbits with respect to the diagonal action. This result was announced in arXiv:1903.06335 as a preprint and submitted to a journal.
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| Academic Significance and Societal Importance of the Research Achievements |
この問題は一般線形群と symplectic 群のとき、および奇数次 split 直交群のときに解決されていた。今回の成果により、古典群のときの分類は完成した。また、体 F は任意であるので、さらに広い応用が期待される。
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Report
(4 results)
Research Products
(5 results)
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[Presentation] 直交群の多重旗多様体2016
Author(s)
松木敏彦
Organizer
「表現論と非可換調和解析をめぐる諸問題」研究集会
Place of Presentation
数理解析研究所
Year and Date
2016-06-28
Related Report
Invited
