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Markov traces and knot invariants related to Iwahori-Hecke algebras of type B

Meinolf Geck, Sofia Lambropoulou

math.RTarXiv:math/0405508

Abstract

In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type invariants for oriented knots inside a solid torus, and finally we give skein-theoretical interpretations.

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