Coefficients of Clebsch-Gordan for the holomorphic discrete series

DOI10.1007/BF00405291zbMath0423.22020OpenAlexW2005734103MaRDI QIDQ1134240

Eugene Gutkin

Publication date: 1979

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00405291

zbMATH Keywords

Clebsch-Gordan seriesHermitian symmetric domainrepresentations of the holomorphic discrete series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space ⋮ On the separation of spectra in the analysis of Berezin kernels ⋮ Multiplicity-free representations and visible actions on complex manifolds

Cites Work

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• Restrictions and expansions of holomorphic representations
• Overcomplete subspace systems and operator symbols
• Lie algebra homology and the Macdonald-Kac formulas
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Representations of Semisimple Lie Groups IV
• Tensor Products of Holomorphic Discrete Series Representations
• A general Clebsch-Gordan theorem

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