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

Esther Galina; Jorge A. Vargas

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arXiv · 1506.00609

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

Esther Galina·Jorge A. Vargas

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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 $SL_2(\mathbb R).$ We show such representation is holomorphic and we determine the essentially unique $H$ with this property as well as multiplicity formulae.

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BibTeX RIS

Esther Galina, Jorge A. Vargas. 2015-06-01. Discrete series of simple Lie groups with admissible restriction to a $SL_2(\mathbb R)$. https://arxiv.org/abs/1506.00609

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