The Hopf algebra of vector fields on complex quantum groups

DOI10.1007/BF00398805zbMath0766.17011OpenAlexW2059118854MaRDI QIDQ1202938

Wolfgang Weich, Michael Schlieker, Bernhard Drabant, Branislav Jurčo, Bruno Zumino

Publication date: 20 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf00398805

zbMATH Keywords

Gram-Schmidt orthogonalizationcomplex quantum groupscomplex quantum enveloping algebracomplex quantum vector fields

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)

Related Items

Complex quantum enveloping algebras as twisted tensor products ⋮ Differential Hopf algebra structure of the quantum standard complex ⋮ Bicovariant quantum algebras and quantum Lie algebras

Cites Work

• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Complex quantum groups and their quantum enveloping algebras
• Vector fields on complex quantum groups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Relating the approaches to quantised algebras and quantum groups
• A q-deformed Lorentz algebra