2015 Fiscal Year Final Research Report
Representation theory of Lie algebras and b-functions of prehomogeneous vector spaces
| Project/Area Number |
23540179
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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 |
Basic analysis
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| Research Institution | Hokkaido University of Education |
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Principal Investigator |
Wachi Akihito 北海道教育大学, 教育学部, 准教授 (30337018)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 概均質ベクトル空間 / ｂ─関数 / Capelli恒等式 |
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| Outline of Final Research Achievements |
We have computed b-functions of some reducible prehomogeneous vector spaces by using Lie theory, and have studied properties of b-functions such as relations to group orbits. In addition, we have studied related things as follows. We have clarified combinatorial and representation-theoretic properties of nilpotent orbits on symmetric spaces, and the Lefschetz properties of coinvariant rings of reflection groups.
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| Free Research Field |
リー代数の表現論
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