Quantum Lorentz group having Gauss decomposition property

DOI10.2977/PRIMS/1195167937zbMath0811.17012OpenAlexW1983443802MaRDI QIDQ1328909

Stanislaw Zakrzewski, Stanisław Lech Woronowicz

Publication date: 6 September 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167937

zbMATH Keywords

quantum groupsGauss decomposition\(C^*\)-quantum groupsquantization of \(\text{SL}(2,\mathbb{C})\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (12)

QUANTUM 'az + b' GROUP ON COMPLEX PLANE ⋮ Quantum group-twisted tensor products of \(C^*\)-algebras. II. ⋮ Non-compact quantum groups associated with Abelian subgroups ⋮ Representations of quadratic *-algebras by bounded and unbounded operators ⋮ Gauss decomposition for quantum groups and supergroups ⋮ The Heisenberg-Lorentz quantum group ⋮ Gauss-Lusztig decomposition for positive quantum groups and representation by \(q\)-tori ⋮ New quantum deformation of \(SL(2,\mathbb{C}{})\). Hopf algebra level ⋮ Unnamed Item ⋮ A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS ⋮ Introduction to Quantum Groups ⋮ Quantum \(\operatorname{GL}(2,\mathbb{C})\) group as double group over `\(az+b\)' quantum group

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