A bt-algebra of type B

Abstract

We introduce a bt-algebra of type B. We define this algebra doing the natural analogy with the original construction of the bt-algebra. Notably 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.

33 pages, 5 figures

References in corpus (2)

• A basis for the Birman-Wenzl algebra
• An algebra involving braids and ties