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

Sofia Lambropoulou

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

Sofia Lambropoulou

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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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Sofia Lambropoulou. 2004-05-27. Knot theory related to generalized and cyclotomic Hecke algebras of type B. https://arxiv.org/abs/math/0405504

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