A Framization of the Hecke algebra of Type B
  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. 
Marcelo Flores, Jesus Juyumaya and Sofia Lambropoulou
math.RA math.GT math.RT