Discrete Series of Classical Groups

http://dx.doi.org/10.4153/CJM-2000-046-7
Canad. J. Math. 52(2000), 1101-1120

  Published:2000-10-01
 Printed: Oct 2000

Let $G_n$ be the split classical groups $\Sp(2n)$, $\SO(2n+1)$ and $\SO(2n)$ defined over a $p$-adic field F or the quasi-split classical groups $U(n,n)$ and $U(n+1,n)$ with respect to a quadratic extension $E/F$. We prove the self-duality of unitary supercuspidal data of standard Levi subgroups of $G_n(F)$ which give discrete series representations of $G_n(F)$.