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

Steven Spallone; Freydoon Shahidi

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

Representation Theory 2007-12-11 v1 Number Theory

Authors: Steven Spallone , Freydoon Shahidi

Abstract

Let $\tilde{G}$ be a symplectic or even orthogonal group over a p-adic field $F$ , and $M$ the Levi factor of a maximal parabolic subgroup of $\tilde{G}$ . Suppose that $M$ has the shape of three blocks of the same size. Let $\pi$ 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 $\pi$ from $M$ to $G$ .

Keywords

intertwining operators classical groups parabolic induction residues supercuspidal representations

Cite

@article{arxiv.0712.1511,
  title  = {Residues of Intertwining Operators for Classical Groups with an Appendix "$L$-Functions and Poles of Intertwining Operators"},
  author = {Steven Spallone and Freydoon Shahidi},
  journal= {arXiv preprint arXiv:0712.1511},
  year   = {2007}
}

Comments

Main paper by Steven Spallone, appendix by Freydoon Shahidi

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

Abstract

Keywords

Cite

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