On Hecke algebras and simple supercuspidal representations for Sp(4,F)
arXiv:1210.3585
Abstract
A well known result of Borel says that the category of modules over the Iwahori-Hecke algebra of a semisimple p-adic group G describes the Bernstein component associated to the unramified principal series of G. We consider Bernstein components for Sp(4,F) associated to principal series induced from simple supercuspidal representations.
This paper is almost complete. It is in the final stages of preparation. The final version will be posted shortly. 19 pages