A Künneth Theorem for p-Adic Groups

Let G1 and G2 be p-adic groups. We describe a decomposition of Ext-groups in the category of smooth representations of G1 × G2 in terms of Ext-groups for G1 and G2. We comment on for a supercuspidal representation π of a p-adic group G. We also consider an example of identifying the class, in a suitable Ext1, of a Jacquet module of certain representations of p-adic GL2n.

On Square-Integrable Representations of Classical p-adic Groups

In this paper, we use Jacquet module methods to study the problem of classifying discrete series for the classical p-adic groups Sp(2n, F) and SO(2n + 1, F).