Branching problems of unitary representations

Details Branching problems of unitary representations Branching problems of unitary representations

2003-04-22

arxiv.org/abs/math/0304326v1

Proceedings of the ICM, Beijing 2002, vol. 2, 615--628

Mathematics

Representation Theory

Scientific paper

The irreducible decomposition of a unitary representation often contains continuous spectrum when restricted to a non-compact subgroup. The author singles out a nice class of branching problems where each irreducible summand occurs discretely with finite multiplicity (admissible restrictions). Basic theory and new perspectives of admissible restrictions are presented from both analytic and algebraic view points. We also discuss some applications of admissible restrictions to modular varieties and $L^p$-harmonic analysis.

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