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

DOI10.1063/1.529711zbMath0767.17007OpenAlexW2008721217MaRDI QIDQ3992327

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Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.529711

zbMATH Keywords

Inönü-Wigner contractioncontraction of orthogonal Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ SO(5)q and contraction: Chevalley basis representations for q-generic and root of unity ⋮ Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras

Cites Work

• Transitions: Contractions and analytical continuations of the Cayley- Klein groups
• 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
• Cylindrical group and massless particles
• The Gel’fand–Tsetlin representations of the unitary Cayley–Klein algebras
• On a class of generalized group contractions
• 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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