Bicovariant differential calculus on quantum groups from Poisson Lie structures

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

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