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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 2012
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