The reduced Birman-Wenzl algebra of Coxeter type B

Details The reduced Birman-Wenzl algebra of Coxeter type B The reduced Birman-Wenzl algebra of Coxeter type B

1997-09-11

arxiv.org/abs/q-alg/9709015v1

Mathematics

Quantum Algebra

24 pages, Latex2e

Scientific paper

We introduce a reduced form of a Birman-Murakami-Wenzl Algebra associated to
the braid group of Coxeter type B and investigate its semisimplicity, Bratteli
diagram and Markov trace. Applications in knot theory and physics are outlined.

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