A Framization of the Hecke algebra of Type B
Rings and Algebras
2016-09-16 v3 Geometric Topology
Representation Theory
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.
Keywords
Cite
@article{arxiv.1603.08487,
title = {A Framization of the Hecke algebra of Type B},
author = {Marcelo Flores and Jesus Juyumaya and Sofia Lambropoulou},
journal= {arXiv preprint arXiv:1603.08487},
year = {2016}
}