Department of Mathematics, Cornell University, Ithaca, New York 14853 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Abstract:
Suppose is a simple reductive -adic group with Weyl group . We give a classification of the irreducible representations of which can be extended to real hermitian representations of the associated graded Hecke algebra . Such representations correspond to unitary representations of which have a small spectrum when restricted to an Iwahori subgroup.