2009 Fiscal Year Final Research Report
Orbit correspondence on flag manifolds and integral transformations
| Project/Area Number |
19540076
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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 |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
MATSUKI Toshihiko Kyoto University, 大学院・理学研究科, 教授 (20157283)
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| Co-Investigator(Kenkyū-buntansha) |
KIKUCHI Katsuhiko 京都大学, 大学院・理学研究科, 助教 (50283586)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 対称空間 / リー群 / 表現論 |
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| Research Abstract |
We applied the horospherical Cauchy transformation due to S.Gindikin for the case of SU(2,1)/U(1,1). We compared the computer program to describe the orbits on flag manifolds with the description of subgroups of Weyl groups. We also computed examples of orbits on flag manifolds over finite fields by symmetric subgroups. We reduced the orbit decomposition of multiple flag varieties to smaller subgroups.
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