DISCRETE DECOMPOSABLE BRANCHING LAWS AND PROPER MOMENTUM MAPS

DOI10.1142/S0129167X11007628zbMath1242.22019OpenAlexW2014736547MaRDI QIDQ2888819

Salma Nasrin

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x11007628

zbMATH Keywords

coadjoint orbitHermitian symmetric spacesholomorphic discrete series representationsmomentum mapsorbit methodmultiplicity-free representationsymmetric pairbranching lawdiscrete decomposibility

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 (2)

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

Cites Work

• Branching laws for square integrable representations
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits
• Unnamed Item

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