Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability

DOI10.4310/PAMQ.2021.V17.N4.A5zbMath1504.22016OpenAlexW4206065015WikidataQ115163326 ScholiaQ115163326MaRDI QIDQ5918467

Toshiyuki Kobayashi

Publication date: 25 January 2022

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2021.v17.n4.a5

zbMATH Keywords

unitary representationconvexity theoremreductive groupsymmetry breakingmomentum mapHarish-Chandra moduleadmissible restriction

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric quantization (53D50) Harmonic analysis on general compact groups (43A77)

Related Items (3)

Multiplicity in restricting minimal representations ⋮ Unnamed Item ⋮ Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\)

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