1993 Fiscal Year Final Research Report Summary
q-analog de Rham cohomology
| Project/Area Number |
04640148
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Nagoya University |
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Principal Investigator |
AOMOTO Kazuhiko Nagoya Univ. Sci. Professor, 理学部, 教授 (00011495)
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| Co-Investigator(Kenkyū-buntansha) |
OZAWA Tetsuya Nagoya Univ. Sci. Assoc. Professor, 理学部, 講師 (20169288)
MURAI Takafumi Nagoya Univ., 情報文化学部, 教授 (00109266)
TSYCHIYA Akihiro Nagoya Univ. Sci. Professor, 理学部, 教授 (90022673)
OHSAWA Takeo Nagoya Univ. Sci. Professor, 理学部, 教授 (30115802)
SHIKATA Yoshihiro Nagoya Univ. Sci. Professor, 理学部, 教授 (50028114)
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| Project Period (FY) |
1992 – 1993
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| Keywords | q de Rham complex / Jackson integral / connection formula / twisted de Rham / exponential product formula |
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| Research Abstract |
I have been searching for general structures behind basic hypergeometric functions. The point lies in considering the q-analog de Rham cohomology H (X,F,V)an algebraic torus X, associated with a q-multiplicative function F.Especially I have been working on connection problem and succeeded in finding an explicit formula in case of A type Jackson integral.
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