On some two parameter Quantum and Jordanian deformations, and their Coloured extensions

Abstract

This paper suveys some recent algebraic developments in two parameter Quantum deformations and their Nonstandard (or Jordanian) counterparts. In particular, we discuss the contraction procedure and the quantum group homomorphisms associated to these deformations. The scheme is then set in the wider context of the coloured extensions of these deformations, namely, the so-called Coloured Quantum Groups.

10 pages LaTeX, Contribution to Proceedings of "LMS - Durham Symposium on Quantum Groups", Durham, July 19 - 29, 1999