%0 Journal Article %T Generalized Temperley-Lieb algebras and decorated tangles %A R. M. Green %J Mathematics %D 1997 %I arXiv %X 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. %U http://arxiv.org/abs/q-alg/9712018v1