An explicit description of the fundamental unitary for \(SU(2)_ q\)

DOI10.1007/BF02108804zbMath0818.17014MaRDI QIDQ1330935

E. Christopher Lance

Publication date: 10 August 1994

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

zbMATH Keywords

\(C^*\)-algebralittle \(q\)-Jacobi polynomialsfundamental representationunitary operatorcomultiplicationpentagonal identityquantum group \(\text{SU}(2)_ q\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (4)

On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\) ⋮ On a correspondence between \(SU_q(2)\), \(\widetilde{E}_q(2)\) and \(\widetilde{SU}_q(1,1)\) ⋮ Twisted product structure and representation theory of the quantum group \(U_q(2)\) ⋮ A $q$-Hankel transform associated to the quantum linking groupoid for the quantum $SU(2)$ and $E(2)$ groups

Cites Work

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• Quantum deformation of Lorentz group
• Compact matrix pseudogroups
• Poisson manifolds and the Schouten bracket
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• Quantum \(SU(2)\) and \(E(2)\) groups. Contraction procedure
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Duality Theory for Covariant Systems
• The 𝐶*-algebra generated by an isometry

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