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Relating quantum and braided Lie algebras

X. Gomez; S. Majid — 2003

Banach Center Publications

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

R-matrix brackets and their quantization

J. Donin; D. Gurevich; S. Majid — 1993

Annales de l'I.H.P. Physique théorique

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