On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra

DOI10.1063/1.1328078zbMath1032.17022OpenAlexW1627376040MaRDI QIDQ2774672

Severin Pošta, Miloslav Havlíček

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1328078

zbMATH Keywords

Lie algebraInönü-Wigner contractionCasimir elementsnonstandard deformationfinite-dimensional irreducible representation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (16)

Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations ⋮ Center of the universal Askey-Wilson algebra at roots of unity ⋮ Twisted WZW branes from twisted REA's ⋮ Representations of the Kauffman bracket skein algebra. II: Punctured surfaces ⋮ Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality ⋮ Totally almost bipartite Leonard pairs and Leonard triples of q-Racah type ⋮ Unnamed Item ⋮ Totally bipartite Leonard pairs and totally bipartite Leonard triples of \(q\)-Racah type ⋮ Leonard triples of \(q\)-Racah type and their pseudo intertwiners ⋮ A CASIMIR ELEMENT INEXPRESSIBLE AS A LIE POLYNOMIAL ⋮ Representations of the q-deformed algebra Uq′(so4) ⋮ Finite-dimensional simple Poisson modules ⋮ On representations of $U’_q\mathfrak {so}_n$ ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra ⋮ REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS ⋮ Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3)

Cites Work

• \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
• 2+1 gravity for genus \(>1\)
• Representations of the cyclically symmetric q-deformed algebra soq(3)
• Central elements of the algebras \(U'_q(\text{so}_m)\) and \(U_q(\text{iso}_m)\)

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