Dual quasitriangular structures related to the Temperley-Lieb algebra

P. Akueson; D. Gurevich

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arXiv · q-alg/9703041

Dual quasitriangular structures related to the Temperley-Lieb algebra

P. Akueson·D. Gurevich

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Abstract

We consider nonquasiclassical solutions to the quantum Yang-Baxter equation and the corresponding quantum cogroups $\Fun(SL(S))$ constructed earlier by one of the authors . We give a criterion of the existence of a dual quasitriangular structure in the algebra $\Fun(SL(S))$ and describe a large class of such objects related to the Temperley-Lieb algebra satisfying this criterion. We show also that this dual quasitriangular structure is in some sense nondegenerate.

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P. Akueson, D. Gurevich. 1997-03-24. Dual quasitriangular structures related to the Temperley-Lieb algebra. https://arxiv.org/abs/q-alg/9703041

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