2010 Fiscal Year Final Research Report
Study of representation theory of semisimple Lie groups via investigating parabolic inductions
| Project/Area Number |
21840016
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
ABE Noriyuki The University of Tokyo, 大学院・数理科学研究科, 特任助教 (00553629)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 半単純Lie群 / 放物型誘導表現 / Jacquet加群 |
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| Research Abstract |
The aim of this study is to investigate the structure of parabolic induction of a semisimple Lie group via calculating its Jacquet module. I noticed that more direct description than I expected can be obtained. New frameworks are needed for such a description. Some of them are established.
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