ANALOGS OF q-SERRE RELATIONS IN THE YANG-BAXTER ALGEBRAS*)

    loading  Checking for direct PDF access through Ovid

Abstract

Yang-Baxter bialgebras, as previously introduced by the authors, are shown to arise from a double crossproduct construction applied to the bialgebra

and its skew dual, with R being a numerical matrix solution of the Yang-Baxter equation. It is further shown that a set of relations generalizing q-Serre ones in the Drinfeld-Jimbo algebras Uq(g) can be naturally imposed on Yang-Baxter algebras from the requirement of non-degeneracy of the pairing.

Related Topics

    loading  Loading Related Articles