Generalized Temperley-Lieb algebras and decorated tangles

Details Generalized Temperley-Lieb algebras and decorated tangles Generalized Temperley-Lieb algebras and decorated tangles

1997-12-04

arxiv.org/abs/q-alg/9712018v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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