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VOL. 26 | 2000 On the Theta Lift for the Trivial Representation
Eng-Chye Tan

Editor(s) Toshiyuki Kobayashi, Masaki Kashiwara, Toshihiko Matsuki, Kyo Nishiyama, Toshio Oshima

Abstract

We describe the Howe quotient and theta lift for the trivial representation of $Sp(2n,\mathbb{R})$ for the dual pairs $(O(p,q), Sp(2n,\mathbb{R}))$, within the stable range (i.e., $\min(p, q) \gt 2n$), by explicitly constructing the Howe quotients.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 0963.22006
MathSciNet: MR1770722

Digital Object Identifier: 10.2969/aspm/02610213

Rights: Copyright © 2000 Mathematical Society of Japan

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