Discrete series of simple Lie groups with admissible restriction to a $SL_2(\mathbb R)$
Representation Theory
2015-06-02 v1
Abstract
In this note we determine the irreducible square integrable representations of a simple group which admits an admissible restriction to a subgroup locally isomorphic to We show such representation is holomorphic and we determine the essentially unique with this property as well as multiplicity formulae.
Keywords
Cite
@article{arxiv.1506.00609,
title = {Discrete series of simple Lie groups with admissible restriction to a $SL_2(\mathbb R)$},
author = {Esther Galina and Jorge A. Vargas},
journal= {arXiv preprint arXiv:1506.00609},
year = {2015}
}