A Framization of the Hecke algebra of Type B

Published 28 Mar 2016 in math.RA, math.GT, and math.RT | (1603.08487v3)

Abstract: In this article we introduce a framization of the Hecke algebra of type B. For this framization we construct a faithful tensorial representation and two linear bases. We finally construct a Markov trace on these algebras and from this trace we derive isotopy invariants for framed and classical knots and links in the solid torus.

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