2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71335In this paper we consider all possible generalizations of the B-type Hecke algebras, namely the cyclotomic and what we call 'generalized', and we construct Markov traces on each of them, so as to obtain all possible different levels of homfly-pt analogues in the solid torus related to the (Hecke) algebras of B-type.35 pages, 8 figures, LaTex document. Title on the abstract page has been corrected; otherwise, v2 is identical to v1Geometric TopologyQuantum Algebra57M25text