Reducibility for Non-Connected p-Adic Groups, With G° Of Prime Index

Goldberg, David

Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 344-363

Résumé

We determine the structure of representations induced from discrete series of parabolic subgroups of quasi-split p-adic groups G with G/G° a cyclic group of prime order. We attach to each such representation an R-group which extends the definition of the Knapp-Stein R-group. We show that this R-group has the properties predicted by Arthur. We apply our results to the case of Orthogonal groups.

Détail

DOI : 10.4153/CJM-1995-019-8

Mots-clés : 22E50, 22E35

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