Dual quasitriangular structures related to the Temperley-Lieb algebra

P. Akueson; D. Gurevich

Dual quasitriangular structures related to the Temperley-Lieb algebra

q-alg 2016-09-08 v1 Quantum Algebra

Authors: P. Akueson , D. Gurevich

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.

Keywords

yang-baxter equation quantum groups associative algebras

Cite

@article{arxiv.q-alg/9703041,
  title  = {Dual quasitriangular structures related to the Temperley-Lieb algebra},
  author = {P. Akueson and D. Gurevich},
  journal= {arXiv preprint arXiv:q-alg/9703041},
  year   = {2016}
}

Comments

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

Dual quasitriangular structures related to the Temperley-Lieb algebra

Abstract

Keywords

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