2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152636The 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 KarpaczHigh Energy Physics - TheoryQuantum Algebratext