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

2004/05/26 by Meinolf Geck, Sofia Lambropoulou · 1 citation
Mathematics · #math.RT #math.GT #msc:20C08

paper · pdf

published as J. fuer die reine und angewandte Mathematik, Vol. 482, pp. 191--213 (1997) · 27 pages, 6 figures, LaTex document

arxiv created 2004/05/26 · arxiv updated 2009/12/01

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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