English

Generalized Temperley-Lieb algebras and decorated tangles

q-alg 2007-05-23 v1 Quantum Algebra

Abstract

We give presentations, by means of diagrammatic generators and relations, of the analogues of the Temperley-Lieb algebras associated as Hecke algebra quotients to Coxeter graphs of type B and DD. This generalizes Kauffman's diagram calculus for the Temperley-Lieb algebra.

Keywords

Cite

@article{arxiv.q-alg/9712018,
  title  = {Generalized Temperley-Lieb algebras and decorated tangles},
  author = {R. M. Green},
  journal= {arXiv preprint arXiv:q-alg/9712018},
  year   = {2007}
}

Comments

16 pages, 13 EPS figures. Journal of Knot Theory and its Ramifications, to appear

R2 v1 2026-07-22T19:22:21.975Z