Study on the spherical function of discrete series representations from the point of view of the theory of automorphic forms
Project/Area Number |
20540005
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Miyagi University of Education |
Principal Investigator |
TAKASE Koichi (KOICHI Takase) 宮城教育大学, 教育学部, 教授 (60197093)
|
Project Period (FY) |
2008 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 群の表現論 / 保型形式 / 球関数 / Jordan三重系 / Fourier変換 / 離散系列表現 / Jordan 三重系 / ユニタリ表現 / 概均質ベクトル空間 / 幕零軌道 / 線形代数群 / 特殊関数 / フーリエ変換 / ジョルダン三重系 / 冪零軌道 / べき零軌道 |
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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Report
(7 results)
Research Products
(17 results)