An Integral Transform and Unitary Highest Weight Modules

DOI10.1112/S0024611500012491zbMath1024.22008OpenAlexW2039415850MaRDI QIDQ2766360

John D. Lorch

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611500012491

zbMATH Keywords

highest weight modulesoscillator representationMantini's transform

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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