Resumen de An algebra-level version of a link-polynomial identity of Lickorish

Michael J. Larsen, Eric C. Rowell

• We establish isomorphisms between certain specializations of BMW algebras and the symmetric squares of Temperley-Lieb algebras. These isomorphisms imply a link-polynomial identity due to W. B. R. Lickorish. As an application, we compute the closed images of the irreducible braid group representations factoring over these specialized BMW algebras.