Bicovariant differential calculus on quantum groups from Poisson Lie structures

I. Ya. Aref'eva; G. E. Arutyunov; P. B. Medvedev

Bicovariant differential calculus on quantum groups from Poisson Lie structures

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Authors: I. Ya. Aref'eva , G. E. Arutyunov , P. B. Medvedev

Abstract

The aim of this lecture is to give a pedagogical explanation of the notion of a Poisson Lie structure on the external algebra of a Poisson Lie group which was introduced in our previous papers. Using this notion as a guide we construct quantum external algebras on $SL_q(N)$ with proper (classical) dimension.

Keywords

lie algebras and representations quantum algebra

Cite

@article{arxiv.hep-th/9406205,
  title  = {Bicovariant differential calculus on quantum groups from Poisson Lie structures},
  author = {I. Ya. Aref'eva and G. E. Arutyunov and P. B. Medvedev},
  journal= {arXiv preprint arXiv:hep-th/9406205},
  year   = {2008}
}

Comments

12 pages, Invited talk given by G.E.Arutyunov at the XXX Winter School of Theoretical Physics in Karpacz

Bicovariant differential calculus on quantum groups from Poisson Lie structures

Abstract

Keywords

Cite

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