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arxiv: math/0405508 · v1 · submitted 2004-05-26 · 🧮 math.RT · math.GT

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

classification 🧮 math.RT math.GT
keywords tracesalgebrasinvariantsiwahori-heckemarkovtypeassociatedclassify
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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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