| 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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| Project Status |
Completed (Fiscal Year 2001)
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| Budget Amount *help |
¥11,100,000 (Direct Cost: ¥11,100,000)
Fiscal Year 2001: ¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2000: ¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1999: ¥4,100,000 (Direct Cost: ¥4,100,000)
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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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