A quantum \(GL(2,\mathbb{C})\) group at roots of unity
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Publication:5945645
DOI10.1016/S0034-4877(01)80054-9zbMath1029.46101MaRDI QIDQ5945645
Wiesław Pusz, Stanisław Lech Woronowicz
Publication date: 1 February 2004
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
quantum group\(C^*\)-algebraHilbert spacerepresentationunbounded operatorlocally compact groupHopf *-algebraquantum exponential function
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Related Items (4)
NEW QUANTUM "az+b" GROUPS ⋮ Functional form of unitary representations of the quantum `\(az+b\)' group. ⋮ Rieffel deformation of group coactions ⋮ Quantum \(\operatorname{GL}(2,\mathbb{C})\) group as double group over `\(az+b\)' quantum group
Cites Work
- Unnamed Item
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- Quantum groups at roots of 1
- Compact matrix pseudogroups
- Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
- Integrable operator representations of \(\mathbb{R}_ q^ 2\), \(X_{q,\gamma}\) and \(SL_ q(2,\mathbb{R})\)
- A von Neumann algebra framework for the duality of the quantum groups
- Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
- Duality Theory for Covariant Systems
- A simple definition for locally compact quantum groups
- QUANTUM 'ax + b' GROUP
- QUANTUM EXPONENTIAL FUNCTION
- C*-ALGEBRAS GENERATED BY UNBOUNDED ELEMENTS
- FROM MULTIPLICATIVE UNITARIES TO QUANTUM GROUPS
- On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
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