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GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES

GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES

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.