Spherical unitary highest weight representations

DOI10.1090/S0002-9947-01-02897-5zbMath0984.22013OpenAlexW1829755971MaRDI QIDQ2759063

Bernhard Krötz, Karl-Hermann Neeb

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02897-5

zbMATH Keywords

spherical representationshighest weight representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (1)

Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum

Cites Work

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• Hermitian symmetric spaces and their unitary highest weight modules
• Quelques propriétés des représentations sphériques pour les espaces symétriques réductifs. (Some properties of spherical representations of reductive symmetric spaces)
• Fourier and Poisson transformation associated to a semisimple symmetric space
• The holomorphic discrete series for affine symmetric spaces. I
• Moduln mit einem höchsten Gewicht
• Discrete series for semisimple symmetric spaces
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Norm estimates for unitarizable highest weight modules
• \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals
• Holomorphy and convexity in Lie theory
• An intrinsic analysis of unitarizable highest weight modules
• Realization of Hermitian symmetric spaces as generalized half-planes
• Function spaces and reproducing kernels on bounded symmetric domains
• The principal series for a reductive symmetric space. I. $H$-fixed distribution vectors
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The Analytic Continuation of the Discrete Series.I
• The Holomorphic Discrete Series of an Affine Symmetric Space and Representations with Reproducing Kernels
• Differential operators and highest weight representations
• Spherical representations and mixed symmetric spaces
• The Plancherel theorem for invariant Hilbert spaces
• Vector valued Riesz distributions on Euclidean Jordan algebras

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