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The reduced Birman-Wenzl algebra of Coxeter type B

R. Haering-Oldenburg

q-algarXiv:q-alg/9709015

Abstract

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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