2012 Fiscal Year Final Research Report
Study on the spherical function of discrete series representations from the point of view of the theory of automorphic forms
| Project/Area Number |
20540005
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Miyagi University of Education |
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Principal Investigator |
TAKASE Koichi 宮城教育大学, 教育学部, 教授 (60197093)
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| Project Period (FY) |
2008 – 2012
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| Keywords | 群の表現論 / 保型形式 / 球関数 / Jordan三重系 / Fourier変換 |
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| Research Abstract |
Studies on an explicit expression of the spherical function associated with the minimal K-type of a discrete series representation of a semi-simple real Lie group and the non-zero set of its Fourier transform in terms of the prehomogeneous vector space of parabolic type, and on the parallel problems for supercuspidal representations of reductive p-adic Lie groups. The theory of the Jordan triple system is used as a tool to study reductive real Lie group explicitly
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