The quantum Cartan algebra associated to a bicovariant differential calculus

DOI10.1016/S0034-4877(12)60012-3zbMath1257.58004arXiv1003.1202OpenAlexW3104436142MaRDI QIDQ442068

Chiara Pagani, Alessandro Zampini, Lucio Simone Cirio

Publication date: 9 August 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1202

zbMATH Keywords

Hopf algebrasCartan calculusdifferential calculi on quantum groups

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) Geometry of quantum groups (58B32) Homology with local coefficients, equivariant cohomology (55N25) Hopf algebras and their applications (16T05)

Related Items (1)

Twisted noncommutative equivariant cohomology: Weil and Cartan models

Cites Work

• Twisted noncommutative equivariant cohomology: Weil and Cartan models
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Differential geometry on linear quantum groups
• Bicovariant quantum algebras and quantum Lie algebras
• Remarks on bicovariant differential calculi and exterior Hopf algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras
• VECTOR FIELDS ON QUANTUM GROUPS
• AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
• On the algebraic structure of differential calculus on quantum groups
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