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

Jantzen, Chris

Canadian journal of mathematics, Tome 63 (2011) no. 2, pp. 327-380

Résumé

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.

Détail

DOI : 10.4153/CJM-2011-003-2

Mots-clés : 22E50

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