arXiv Analytics

Sign in

arXiv:math/0405508 [math.RT]AbstractReferencesReviewsResources

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

Meinolf Geck, Sofia Lambropoulou

Published 2004-05-26Version 1

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.

Comments: 27 pages, 6 figures, LaTex document
Journal: J. fuer die reine und angewandte Mathematik, Vol. 482, pp. 191--213 (1997)
Categories: math.RT, math.GT
Subjects: 20C08
Related articles: Most relevant | Search more
arXiv:math/0401317 [math.RT] (Published 2004-01-23, updated 2004-02-11)
Affine braids, Markov traces and the category O
arXiv:1502.02183 [math.RT] (Published 2015-02-07)
Centers and Cocenters of $0$-Hecke algebras
arXiv:1812.00608 [math.RT] (Published 2018-12-03)
Macdonald trees and determinants of representations for finite Coxeter groups