2016/03/28 by Flores, Marcelo, Juyumaya, Jesus, Lambropoulou, Sofia
#FOS: Mathematics #Geometric Topology (math.GT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1603.08487
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.