Complex quantum groups and their quantum enveloping algebras

DOI10.1007/BF02097245zbMath0763.17011OpenAlexW2037380619MaRDI QIDQ1200078

Wolfgang Weich, Bernhard Drabant, Michael Schlieker, Bruno Zumino

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf02097245

zbMATH Keywords

\(R\)-matrixquantized universal enveloping algebra\(*\)-Hopf algebra763complex quantum groupregular functionals

Mathematics Subject Classification ID

Related Items (11)

Complex quantum enveloping algebras as twisted tensor products ⋮ More on quantum groups from the quantization point of view ⋮ Double quantum groups and Iwasawa decomposition ⋮ Sub-Hopf-algebra-induced twists of quantum enveloping algebras ⋮ The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic setting ⋮ Six generator \(q\)-deformed Lorentz algebra ⋮ Vector fields on complex quantum groups ⋮ The Hopf algebra of vector fields on complex quantum groups ⋮ Multiparameter quantum Cauchy-Binet formulas ⋮ Quantum dressing orbits on compact groups ⋮ Braided bosonization and inhomogeneous quantum groups

Cites Work

• Unnamed Item
• Quantum deformation of Lorentz group
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Vector fields on complex quantum groups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• A QUANTUM LORENTZ GROUP
• A q-deformed Lorentz algebra

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