On the local and global exterior square L-functions
Number Theory
2012-06-22 v3 Representation Theory
Abstract
We show that the local exterior square L-functions of GL_n constructed via the theory of integral representations by Jacquet and Shalika coincide with those constructed by the Langlands-Shahidi method for square integrable representations (and for all irreducible representations when n is even). We also deduce several local and global consequences.
Keywords
Cite
@article{arxiv.1201.4126,
title = {On the local and global exterior square L-functions},
author = {Pramod Kumar Kewat and Ravi Raghunathan},
journal= {arXiv preprint arXiv:1201.4126},
year = {2012}
}
Comments
22 pages. Essentially only one minor change from version 2. The statement of Theorem 3.3 (due to D. Belt) has been weakened but this weakening does not affect the rest of the paper in anyway