Dual quasitriangular structures related to the Temperley-Lieb algebra

Details Dual quasitriangular structures related to the Temperley-Lieb algebra Dual quasitriangular structures related to the Temperley-Lieb algebra

1997-03-24

arxiv.org/abs/q-alg/9703041v1

Mathematics

Quantum Algebra

18 pages Latex, to appear in Lie goups, their representations, generalizations and applications, Kluwer

Scientific paper

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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