Vol. 153, No. 2, 1992

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On certain Iwahori invariants in the unramified principal series

Mark Stephen Reeder

Vol. 153 (1992), No. 2, 313–342
Abstract

An affine Hecke algebra is additively the tensor product of a finite dimensional Hecke algebra with the coordinate ring Θ of a complex torus. In this paper we give explicit formulas for eigenvectors of Θ in unramified principal series representations of the reductive p-adic group G associated to . This leads to new information about intertwining operators, Jacquet modules and submodules of principal series representations.

Mathematical Subject Classification 2000
Primary: 22E50
Milestones
Received: 14 September 1990
Published: 1 April 1992
Authors
Mark Stephen Reeder