Coloured Hopf algebras and their duals

Abstract

Coloured Hopf algebras, related to the coloured Yang-Baxter equation, are reviewed, as well as their duals. The special case of coloured quantum universal enveloping algebras provides a coloured extension of Drinfeld and Jimbo formalism. The universal $\mathcal{T}$-matrix is then generalized to the coloured context, and shown to lead to an algebraic formulation of the coloured RTT-relations, previously proposed by Basu-Mallick as part of a coloured extension of Faddeev, Reshetikhin, and Takhtajan approach to quantum groups and quantum algebras.

Communication at the V Wigner Symposium, Vienna, 25-29 August, 1997, 3 pages, LaTeX 2.09, uses sprocl.sty available at http://www.wspc.demon.co.uk/Styles/procs/