Knot theory related to generalized and cyclotomic Hecke algebras of type B

2004/05/27 by Sofia Lambropoulou · 2 citations
Mathematics · #math.GT #math.QA #msc:57M25

paper · pdf

published as J. Knot Theory and its Ramifications, Vol. 8, No. 5, pp. 621--658 (1999) · 35 pages, 8 figures, LaTex document. Title on the abstract page has been corrected; otherwise, v2 is identical to v1

arxiv created 2004/05/27 · arxiv updated 2009/12/01

Abstract

In this paper we consider all possible generalizations of the B-type Hecke algebras, namely the cyclotomic and what we call 'generalized', and we construct Markov traces on each of them, so as to obtain all possible different levels of homfly-pt analogues in the solid torus related to the (Hecke) algebras of B-type.

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