scientific article

DOI10.1088/0305-4470/23/11/017zbMath0717.22009OpenAlexW130777546MaRDI QIDQ3204682

M. J. Carvalho

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/11/017

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zbMATH Keywords

charactersmetaplectic representationfundamental representationharmonic oscillatorplethysmsdouble covernuclear symplectic shell modelinfinite \(S\)-function seriesreducible unitary infinite-dimensional representationsymmetrized \(m\)-fold powers

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of hypergeometric functions (33C90)

Related Items (4)

Applications of \(S\)-functions to the quantum Hall effect and quantum dots ⋮ Plethysms and interacting boson models ⋮ Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). II. Plethysms ⋮ The Sp\( (3,\mathbb{R})\) representations of an \(A\)-particle nucleus

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