Tensor products of singular holomorphic representations of SU(n,n) and Mp(n,R)

DOI10.3792/PJAA.58.315zbMath0513.22011OpenAlexW2070894059MaRDI QIDQ1050480

Hiro-Fumi Yamada, Toshiharu Sugawara

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.315

zbMATH Keywords

irreducible decompositionsingular holomorphic representationstensor products of holomorphic discrete series representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• Some remarks on tensor invariants of \(O(n), U(n), Sp(n)\)
• Restrictions and expansions of holomorphic representations
• Relative invariants of prehomogeneous vector spaces and a realization of certain unitary representations. I
• On singular holomorphic representations
• The last possible place of unitarity for certain highest weight modules
• On the Segal-Shale-Weil representations and harmonic polynomials
• Tensor products, reproducing kernels, and power series
• Representations of Semisimple Lie Groups IV
• Tensor Products of Holomorphic Discrete Series Representations

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