Generalized Temperley-Lieb algebras and decorated tangles

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 $D$. This generalizes Kauffman's diagram calculus for the Temperley-Lieb algebra.

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