The representations of \(U_ q (\text{so}_ 4)\) and \(U_ q (\text{so}_{3,1})\)

DOI10.1007/BF01017140zbMath0848.17008OpenAlexW2995611257MaRDI QIDQ1918716

Alexandre M. Gavrilik

Publication date: 31 October 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017140

zbMATH Keywords

irreducible representations\(q\)-deformed algebra \(U_ q (so_ 4)\)\(q\)-deformed Lorentz algebra \(U_ q (so_{3,1})\)Fairlie-Odesskii algebra

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

Representations of the q-deformed algebra Uq′(so4)

Cites Work

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• Quantum deformation of Lorentz group
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• An analog of the Sklyanin algebra
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
• Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups
• A QUANTUM LORENTZ GROUP