The Gel’fand–Tsetlin representations of the unitary Cayley–Klein algebras

DOI10.1063/1.529341zbMath0745.22019OpenAlexW1977353094MaRDI QIDQ3981642

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Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529341

zbMATH Keywords

classical groupsanalytical continuationscontractionsCayley-Klein groupsirreducible Gel'fand-Tsetlin representationsunitary Cayley-Klein algebras

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (3)

Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ The Gel’fand–Tsetlin representations of the orthogonal Cayley–Klein algebras ⋮ Contractions of the irreducible representations of the quantum algebras suq(2) and soq(3)

Cites Work

• Casimir operators of groups of motions of spaces of constant curvature
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Master analytic representations and unified representation theory of certain orthogonal and pseudo-orthogonal groups
• The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• On the Contraction of Groups and Their Representations

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