2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161731We 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.21 pages, 2 figuresQuantum Algebra20F36; 17B37; 16S99; 05E10text