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Relating quantum and braided Lie algebras

Tom 61 / 2003

X. Gomez, S. Majid Banach Center Publications 61 (2003), 91-102 MSC: 58B32, 18D10, 20G42, 81R50. DOI: 10.4064/bc61-0-6

Streszczenie

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.

Autorzy

  • X. GomezSchool of Mathematical Sciences
    Queen Mary
    University of London
    Mile End Rd
    London E1 4NS, UK
    e-mail
  • S. MajidSchool of Mathematical Sciences
    Queen Mary
    University of London
    Mile End Rd
    London E1 4NS, UK

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