Residues of Intertwining Operators for Classical Groups with an Appendix "L-Functions and Poles of Intertwining Operators"

2007/12/10 by Spallone, Steven, Shahidi, Freydoon
#22E50 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0712.1511

Abstract

Let G be a symplectic or even orthogonal group over a p-adic field F, and M the Levi factor of a maximal parabolic subgroup of G. Suppose that M has the shape of three blocks of the same size. Let π be a supercuspidal representation of M. In this paper we give a simple explicit expression for the residue of the standard intertwining operator for the parabolic induction of π from M to G.

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