Relating quantum and braided Lie algebras
Volume 61 / 2003
Banach Center Publications 61 (2003), 91-102
MSC: 58B32, 18D10, 20G42, 81R50.
DOI: 10.4064/bc61-0-6
Abstract
We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if ${\mathfrak g}_\Gamma$ is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra $A$, then the space $k\oplus {\mathfrak g}_\Gamma$ is a braided Lie algebra in the category of $A$-comodules. An important consequence of this is that the universal enveloping algebra $U({\mathfrak g}_\Gamma)$ is a bialgebra in the category of $A$-comodules.
