Contractions of the irreducible representations of the quantum algebras suq(2) and soq(3)

DOI10.1063/1.529712zbMath0767.17008OpenAlexW2075871826MaRDI QIDQ3992328

No author found.

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.529712

zbMATH Keywords

quantum algebrasInönü-Wigner contractionsso\(_ q\)(3)su\(_ q\)(2)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Structure theory for Lie algebras and superalgebras (17B05)

Related Items (6)

CONTRACTIONS OF LIE ALGEBRA REPRESENTATIONS ⋮ SO(5)q and contraction: Chevalley basis representations for q-generic and root of unity ⋮ Four-dimensional quantum affine algebras and space–time q-symmetries ⋮ Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras ⋮ Contractions, deformations and curvature ⋮ Quantum Klein space and superspace

Cites Work

• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions
• On q-tensor operators for quantum groups
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules.
• The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The Gel’fand–Tsetlin representations of the unitary Cayley–Klein algebras
• The quantum Heisenberg group H(1)q
• On the Contraction of Groups and Their Representations

This page was built for publication: Contractions of the irreducible representations of the quantum algebras suq(2) and soq(3)