Geodesic
Discrete Series for p-adic SO(2n) and Restrictions of Representations of O(2n)
Canadian journal of mathematics, Tome 63 (2011) no. 2, pp. 327-380

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DOI

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.
DOI : 10.4153/CJM-2011-003-2
Mots-clés : 22E50 
Jantzen, Chris. Discrete Series for p-adic SO(2n) and Restrictions of Representations of O(2n). Canadian journal of mathematics, Tome 63 (2011) no. 2, pp. 327-380. doi: 10.4153/CJM-2011-003-2
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     title = {Discrete {Series} for p-adic {SO(2n)} and {Restrictions} of {Representations} of {O(2n)}},
     journal = {Canadian journal of mathematics},
     pages = {327--380},
     year = {2011},
     volume = {63},
     number = {2},
     doi = {10.4153/CJM-2011-003-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-003-2/}
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