Coloured Hopf algebras and their duals

Details Coloured Hopf algebras and their duals Coloured Hopf algebras and their duals

1997-11-14

arxiv.org/abs/q-alg/9711011v1

Proc. 5th Wigner Symp., Vienna, Austria, 25-29 August 1997, Eds. P. Kasperkovitz and D. Grau (World Scientific,, Singapore, 19

Mathematics

Quantum Algebra

Communication at the V Wigner Symposium, Vienna, 25-29 August, 1997, 3 pages, LaTeX 2.09, uses sprocl.sty available at http:

Scientific paper

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 $\cal T$-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.

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