Flores, MarceloMarceloFlores2025-08-252025-08-252019-04-1610.1016/j.jpaa.2019.04.011https://cris-uv.scimago.es/handle/123456789/3625WOS:000488994600001We introduce an algebra of braids and ties (or bt-algebra) of type B . In analogy to the construction of the bt-algebra of type A, we define this bt–algebra of type B through a framization of the Hecke algebra of type B. We find a basis for it, a faithful tensorial representation, and we prove that it supports a Markov trace, from which we derive invariants of classical links in the solid torus.enacceso restringidoHecke algebraTRACE (psycholinguistics)Basis (linear algebra)journal-article