BRANCHING RULES OF SINGULAR UNITARY REPRESENTATIONS WITH RESPECT TO SYMMETRIC PAIRS (A2n-1, Dn)
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Publication:5300013
DOI10.1142/S0129167X13500110zbMath1269.22008MaRDI QIDQ5300013
Publication date: 24 June 2013
Published in: International Journal of Mathematics (Search for Journal in Brave)
branching rulesymmetric pairPenrose transformmultiplicity-freesingular unitary representationZuckerman derived functor module
Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46)
Related Items (2)
Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups
Cites Work
- Restrictions of generalized Verma modules to symmetric pairs
- Branching laws for square integrable representations
- Hermitian symmetric spaces and their unitary highest weight modules
- Unitary highest weight modules
- Restrictions and expansions of holomorphic representations
- Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
- Applications of minor summation formulas to rectangular-shaped representations of classical groups
- The restriction of \(A_ q(\lambda)\) to reductive subgroups
- 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
- Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations
- Unitarizability of certain series of representations
- An intrinsic analysis of unitarizable highest weight modules
- Visible actions on symmetric spaces
- Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
- Multiplicity-free representations and visible actions on complex manifolds
- Invariant differential operators on Hermitian symmetric spaces
- Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
- Les espaces symétriques noncompacts
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