Aubert duals of strongly positive discrete series and a class of unitarizable representations

Matić, Ivan

doi:10.1090/proc/13461

Aubert duals of strongly positive discrete series and a class of unitarizable representations
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by Ivan Matić

Proc. Amer. Math. Soc. 145 (2017), 3561-3570

DOI: https://doi.org/10.1090/proc/13461

Published electronically: January 11, 2017

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Abstract:

Let $G_n$ denote either the group $Sp(n, F)$ or $SO(2n+1, F)$ over a non-archimedean local field $F$. We explicitly determine the Aubert duals of strongly positive discrete series representations of the group $G_n$. This enables us to construct a large class of unitarizable representations of this group.

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