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Discrete Series for $p$-adic $SO(2n)$ and Restrictions of Representations of $O(2n)$ |
Canad. J. Math. 63(2011), 327-380
Published:2011-01-17
Printed: Apr 2011
Printed: Apr 2011
- Chris Jantzen,
Abstract
In this paper we give a classification of discrete series for
$SO(2n,F)$, $F$ $p$-adic, similar to that of
Mœglin--Tadić for
the other classical groups. This is obtained by taking the
Mœglin--Tadić classification for $O(2n,F)$ and studying how the
representations restrict to $SO(2n,F)$. We then extend this to an
analysis of how admissible representations of $O(2n,F)$ restrict.
| MSC Classifications: | 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] |