Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

Goldberg, David; Kutzko, Philip; Stevens, Shaun

Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

Authors

Goldberg, David

Kutzko, Philip

Stevens, Shaun

Description

We study components of the Bernstein category for a p-adic classical group (with p odd) with inertial support a self-dual positive level supercuspidal representation of a Siegel Levi subgroup. More precisely, we use the method of covers to construct a Bushnell-Kutzko type for such a component. A detailed knowledge of the Hecke algebra of the type should have number-theoretic implications.
22 pages