2001 Fiscal Year Final Research Report Summary
Development from prehomogeneous vector spaces to weakly spherical homogeneous spaces
| Project/Area Number |
11440001
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Tsukuba |
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Principal Investigator |
KIMURA Tatsuo University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 (30022726)
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| Co-Investigator(Kenkyū-buntansha) |
MORITA Jun University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 (20166416)
MIYAMOTO Masahiko University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 (30125356)
TAKEUCHI Mitsuhiro University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 (00015950)
NAITO Satoshi University of Tsukuba, Institute of Mathematics, Associate Professor, 数学系, 助教授 (60252160)
TAIRA Kazuaki University of Tsukuba, Institute of Mathematics, Professor, 数学系, 教授 (90016163)
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| Project Period (FY) |
1999 – 2001
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| Keywords | Prehomogeneous vector spaces / weakly spherical homogeneous spaces / Fourier transform / Relative invaliant |
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| Research Abstract |
The development of this year is a clarrification of weakly spherical homogeneous spaces obtained from dividing general linear groups by their irreducible algebraic inbgroups which we will call irreducible weakly spherical homogeneous spaces. The point is to clarify the relation between castling transforms and weakly sphericality. By doing this, we complete the clarrification corresponding to irreducible regular prehomogeneous spaces.
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