Branching Rules for Supercuspidal Representations of SL_2(k)
Representation Theory
2012-12-12 v2
Abstract
The restriction of a supercuspidal representation of SL_2(k), for k a local nonarchimedean field, to a maximal compact subgroup decomposes as a multiplicity-free direct sum of irreducible representations. We explicitly describe this decomposition in the case that the residual characteristic is odd, and determine how the spectrum of this decomposition varies as a function of the parameters describing the supercuspidal representation.
Cite
@article{arxiv.1206.0672,
title = {Branching Rules for Supercuspidal Representations of SL_2(k)},
author = {Monica Nevins},
journal= {arXiv preprint arXiv:1206.0672},
year = {2012}
}
Comments
30 pages; minor reorganization to previous version. Accepted to Journal of Algebra