Unitary spherical spectrum for p-adic classical groups

Let G be a split reductive p-adic group. Then the determination of the unitary representations with nontrivial Iwahori fixed vectors can be reduced to the determination of the unitary dual of the corresponding Iwahori-Hecke algebra. In this paper we study the unitary dual of the Iwahori-Hecke algebras corresponding to the classical groups. We determine all the unitary spherical representations.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41659/1/10440_2004_Article_BF00116514.pd