Discrete series of simple Lie groups with admissible restriction to a $SL_2(\mathbb R)$

Esther Galina; Jorge A. Vargas

paper

Discrete series of simple Lie groups with admissible restriction to a $S L_{2} (R)$

arXiv:1506.00609

Abstract

In this note we determine the irreducible square integrable representations of a simple group which admits an admissible restriction to a subgroup $H$ locally isomorphic to $S L_{2} (R) .$ We show such representation is holomorphic and we determine the essentially unique $H$ with this property as well as multiplicity formulae.

Discrete series of simple Lie groups with admissible restriction to a SL2​(R)

Abstract

Discrete series of simple Lie groups with admissible restriction to a $S L_{2} (R)$