Geodesic
On Induced Representations Distinguished by Orthogonal Groups
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 647-658

Voir la notice de l'article provenant de la source Cambridge University Press

Let $F$ be a local non-archimedean field of characteristic zero. We prove that a representation of $GL\left( n,\,F \right)$ obtained from irreducible parabolic induction of supercuspidal representations is distinguished by an orthogonal group only if the inducing data is distinguished by appropriate orthogonal groups. As a corollary, we get that an irreducible representation induced from supercuspidals that is distinguished by an orthogonal group is metic.
DOI : 10.4153/CMB-2012-008-0
Mots-clés : 22E50, distinguished representation, parabolic induction 
Valverde, Cesar. On Induced Representations Distinguished by Orthogonal Groups. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 647-658. doi: 10.4153/CMB-2012-008-0
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