Coloured Hopf algebras

Details Coloured Hopf algebras Coloured Hopf algebras

1997-05-27

arxiv.org/abs/q-alg/9705022v1

Special Functions and Differential Equations, eds. K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe and J. Van der Jeugt (Al

Mathematics

Quantum Algebra

6 pages, LaTeX, no figure, communication at the Workshop on Special Functions and Differential Equations, Chennai, India, 13-2

Scientific paper

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.

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