Relating quantum and braided Lie algebras

• Autorzy: X. Gomez , S. Majid
• Języki publikacji: EN

Abstrakty

EN

We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if $𝔤_{Γ}$ is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra A, then the space $k ⊕ 𝔤_{Γ}$ is a braided Lie algebra in the category of A-comodules. An important consequence of this is that the universal enveloping algebra $U(𝔤_{Γ})$ is a bialgebra in the category of A-comodules.

Kategorie tematyczne

• 58B32: Geometry of quantum groups
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
• 81R50: Quantum groups and related algebraic methods
• 20G42: Quantum groups (quantized function algebras) and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 91-102

Daty

wydano

2003

Twórcy

autor

X. Gomez

• School of Mathematical Sciences, Queen Mary, University of London, Mile End Rd, London E1 4NS, UK

autor

S. Majid

• School of Mathematical Sciences, Queen Mary, University of London, Mile End Rd, London E1 4NS, UK

Identyfikatory

DOI

10.4064/bc61-0-6