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Residues of Intertwining Operators for Classical Groups with an Appendix '$L$-Functions and Poles of Intertwining Operators'
- Publication Year :
- 2007
-
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 $G$.<br />Comment: Main paper by Steven Spallone, appendix by Freydoon Shahidi
- Subjects :
- Mathematics - Representation Theory
Mathematics - Number Theory
22E50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0712.1511
- Document Type :
- Working Paper