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Summer 2014 Unitary representations of the universal cover of SU(1,1) and tensor products
Guillaume Tomasini, Bent Ørsted
Kyoto J. Math. 54(2): 311-352 (Summer 2014). DOI: 10.1215/21562261-2642413

Abstract

In this paper we study the discrete spectrum of tensor products of irreducible unitary representations of the universal covering group of SU(1,1). As a consequence of these results, we show that the set of smooth vectors of the tensor product intersects trivially some of the representations in the discrete spectrum. These results illustrate aspects of the much larger program of branching laws for reductive groups.

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Guillaume Tomasini. Bent Ørsted. "Unitary representations of the universal cover of SU(1,1) and tensor products." Kyoto J. Math. 54 (2) 311 - 352, Summer 2014. https://doi.org/10.1215/21562261-2642413

Information

Published: Summer 2014
First available in Project Euclid: 2 June 2014

zbMATH: 1327.22016
MathSciNet: MR3215570
Digital Object Identifier: 10.1215/21562261-2642413

Subjects:
Primary: 22E46
Secondary: 17B10, 22E45, 22E47

Rights: Copyright © 2014 Kyoto University

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Vol.54 • No. 2 • Summer 2014
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