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

Mathematics – Representation Theory

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22 pages

Scientific paper

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.

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