Coloured Hopf algebras

Abstract

Some new algebraic structures related to the coloured Yang-Baxter equation, and termed coloured Hopf algebras, are reviewed. Coloured quantum universal enveloping algebras of Lie algebras are defined in this context. An extension to the coloured graded Yang-Baxter equation and coloured Hopf superalgebras is also presented. The coloured two-parameter quantum universal enveloping algebra of $gl(1/1)$ is considered as an example.

6 pages, LaTeX, no figure, communication at the Workshop on Special Functions and Differential Equations, Chennai, India, 13-24 Jan. 1997 (to appear in the Proceedings)