Tensor product of principal unitary representations of quantum Lorentz group and Askey–Wilson polynomials

DOI10.1063/1.1289828zbMath0971.81047arXivmath/9910147OpenAlexW2033889892MaRDI QIDQ2738276

E. Buffenoir, Philippe Roche

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9910147

zbMATH Keywords

decomposition theoremintertwiners\(q\)-Racah polynomialscomplex continuations of \(6j\) symbols

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

6 j symbols duality relations ⋮ Wilson function transforms related to Racah coefficients ⋮ Quantum deformation of two four-dimensional spin foam models ⋮ 4-dimensional spin-foam model with quantum Lorentz group

Cites Work

• Solving the strongly coupled 2D gravity. I: Unitary truncation and quantum group structure
• Quantum deformation of Lorentz group
• Compact matrix pseudogroups
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap
• Remarks on quantum integration
• Harmonic analysis on the quantum Lorentz group
• Irreducible unitary representations of quantum Lorentz group
• Exchange dynamical quantum groups
• A quasi-Hopf algebra interpretation of quantum \(3\)-\(j\) and \(6\)-\(j\) symbols and difference equations
• Some Hypergeometric Orthogonal Polynomials
• Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. Part I

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