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Discrete Series for p-adic SO(2n) and Restrictions of Representations of O(2n)

Published online by Cambridge University Press:  20 November 2018

Chris Jantzen
Chris Jantzen*
Affiliation:
Department of Mathematics, East Carolina University, Greenville, NC 27858, U.S.A. email: jantzenc@ecu.edu
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Abstract

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In this paper we give a classification of discrete series for $SO\left( 2n,\,F \right)$, $F$$p$–adic, similar to that of Mœglin–Tadić for the other classical groups. This is obtained by taking the Mœglin–Tadić classification for $O\left( 2n,\,F \right)$ and studying how the representations restrict to $SO\left( 2n,\,F \right)$. We then extend this to an analysis of how admissible representations of $O\left( 2n,\,F \right)$ restrict.

Keywords

22E50
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 2 , 01 April 2011 , pp. 327 - 380
Copyright
Copyright © Canadian Mathematical Society 2012

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