Affiliation:
1. CIEM-FaMAF, Ciudad Universitaria, 5000 Córdoba, Argentine
Abstract
Let [Formula: see text] be a symmetric pair for a real semisimple Lie group [Formula: see text] and [Formula: see text] its associated pair. For each irreducible square integrable representation [Formula: see text] of [Formula: see text] so that its restriction to [Formula: see text] is admissible, we find an irreducible square integrable representation [Formula: see text] of [Formula: see text] which allows us to compute the Harish-Chandra parameter of each irreducible [Formula: see text]-subrepresentation of [Formula: see text] as well as its multiplicity. The computation is based on the spectral analysis of the restriction of [Formula: see text] to a maximal compact subgroup of [Formula: see text]
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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1. Branching laws: some results and new examples;Revista de la Unión Matemática Argentina;2019-03-06