Coloured Hopf algebras

C. Quesne

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arXiv · q-alg/9705022

Coloured Hopf algebras

C. Quesne

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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.

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C. Quesne. 1997-05-27. Coloured Hopf algebras. https://arxiv.org/abs/q-alg/9705022

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