Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs

DOI10.1007/s10468-018-9810-8zbMath1404.22035arXiv1805.09713OpenAlexW2803277980WikidataQ129649336 ScholiaQ129649336MaRDI QIDQ1792604

Salma Nasrin, Toshiyuki Kobayashi

Publication date: 12 October 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09713

zbMATH Keywords

highest weight representationscoadjoint orbitgeometric quantizationorbit methodbounded symmetric domainsmultiplicity-free representationsbranching lawCorwin-Greenleaf multiplicity function

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Geometry and quantization, symplectic methods (81S10) Lie algebras of Lie groups (22E60) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Branching rule and coadjoint orbit for Heisenberg Gelfand pairs ⋮ Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups ⋮ 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 ⋮ A generalization of Duflo's conjecture

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