Branching laws for square integrable representations

DOI10.3792/pjaa.86.49zbMath1196.22009OpenAlexW2011010548MaRDI QIDQ989436

Jorge Antonio Vargas, Michel Duflo

Publication date: 20 August 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.49

zbMATH Keywords

multiplicitydiscrete seriessquare integrable representationbranching law

Mathematics Subject Classification ID

Related Items (18)

DISCRETE DECOMPOSABLE BRANCHING LAWS AND PROPER MOMENTUM MAPS ⋮ Branching laws, some results and new examples ⋮ BRANCHING RULES OF SINGULAR UNITARY REPRESENTATIONS WITH RESPECT TO SYMMETRIC PAIRS (A_2n-1, D_n) ⋮ Branching problems in reproducing kernel spaces ⋮ Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ Coadjoint geometry for discretely decomposable restrictions of certain series of representations of indefinite unitary groups ⋮ Classical limit of the tensor product of holomorphic discrete series representations ⋮ A generalization of Duflo's conjecture ⋮ Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds ⋮ Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs ⋮ Kirillov's orbit method: the case of discrete series representations ⋮ Unnamed Item ⋮ A geometric formula for multiplicities of 𝐾-types of tempered representations ⋮ Branching problems for semisimple Lie groups and reproducing kernels ⋮ THE CONTINUOUS SPECTRUM IN DISCRETE SERIES BRANCHING LAWS ⋮ Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups ⋮ Duflo's conjecture for the branching problem to the Iwasawa \(AN\)-subgroup of a semisimple Lie group

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