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Semisimple Types for P-adic Classical Groups by Miyauchi, Michitaka; Stevens, Shaun is a scholarly article available to read on EtoBox.

What is Semisimple Types for P-adic Classical Groups about?

We construct, for any symplectic, unitary or special orthogonal group over a locally compact nonarchimedean local field of odd residual characteristic, a type for each Bernstein component of the category of smooth representations, using Bushnell--Kutzko's theory of covers. Moreover, for a component corresponding to a cuspidal representation of a maximal Levi subgroup, we prove that the Hecke algebra is either abelian, or a generic Hecke algebra on an infinite dihedral group, with parameters which are, at least in principle, computable via results of Lusztig.

Author

Miyauchi, Michitaka; Stevens, Shaun

Published

2012

Language

EN