An orthogonal family of polynomials on the generalized unit disk and ladder representations of 𝑈(𝑝,𝑞)

DOI10.1090/S0002-9939-98-04506-7zbMath0907.22015MaRDI QIDQ4211918

John D. Lorch

Publication date: 8 October 1998

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

zbMATH Keywords

orthogonal polynomialsFock spaceoscillator representationbounded symmetric domainsPenrose transformunitary structureladder representation

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) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential complexes (58J10)

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