REPRESENTATIONS OF QUANTUM LORENTZ GROUP ON GELFAND SPACES

DOI10.1142/S0129055X00000423zbMath1079.81538MaRDI QIDQ2705582

Wiesław Pusz, Stanisław Lech Woronowicz

Publication date: 25 March 2001

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

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) Structure and representation of the Lorentz group (22E43) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (6)

Complex quantum groups and a deformation of the Baum–Connes assembly map ⋮ Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory ⋮ Twisted product structure and representation theory of the quantum group \(U_q(2)\) ⋮ A Few Remarks on the Tube Algebra of a Monoidal Category ⋮ Explicit Rieffel induction module for quantum groups ⋮ Quantum \(\operatorname{GL}(2,\mathbb{C})\) group as double group over `\(az+b\)' quantum group

Cites Work

• Quantum deformation of Lorentz group
• Compact matrix pseudogroups
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations
• Irreducible unitary representations of quantum Lorentz group
• C*-ALGEBRAS GENERATED BY UNBOUNDED ELEMENTS

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