Orbit decomposition of multiple flag varieties
Project/Area Number |
22540016
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Ryukoku University |
Principal Investigator |
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 代数群 / リー群 / リー環 / 表現論 |
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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Report
(4 results)
Research Products
(8 results)