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Bent Ørsted

Branching laws for some unitary representations of SL(4,R)

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  • Department of Mathematical Sciences
  • Teoretisk naturvidenskab
In this paper we consider the restriction of a unitary irreducible representation of type Aq(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to the symplectic group and to GL(2,C), and as an application we construct in the last section some representations in the cuspidal spectrum of the symplectic and the complex general linear group. In addition to working directly with the cohmologically induced module to obtain the branching law, we also introduce the useful concept of pseudo dual pairs of subgroups in a reductive Lie group.
Original languageEnglish
JournalSymmetry, Integrability and Geometry: Methods and Applications
Volume4
Number of pages19
ISSN1815-0659
DOIs
Publication statusPublished - 2008

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