Base change and theta correspondences for supercuspidal representations of SL(2)
Representation Theory
2012-11-12 v2
Abstract
Let F be a p-adic field with p odd. Quadratic base change and theta-lifting are shown to be compatible for supercuspidal representations of SL(2,F). The argument involves the theory of types and the lattice model of the Weil representation.
Keywords
Cite
@article{arxiv.1101.4862,
title = {Base change and theta correspondences for supercuspidal representations of SL(2)},
author = {David Manderscheid},
journal= {arXiv preprint arXiv:1101.4862},
year = {2012}
}
Comments
This is a revison of a previous version of the paper. Typos have been corrected and more details of the argument have been added