%0 Journal Article %T An algebra-level version of a link-polynomial identity of Lickorish %A Michael J. Larsen %A Eric C. Rowell %J Mathematics %D 2006 %I arXiv %X We establish isomorphisms between certain specializations of Birman-Murakami-Wenzl 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. %U http://arxiv.org/abs/math/0605455v1