An algebra-level version of a link-polynomial identity of Lickorish Institutional Repository Document uri icon


  • 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.

author list (cited authors)

  • Larsen, M. J., & Rowell, E. C.

complete list of authors

  • Larsen, Michael J||Rowell, Eric C

publication date

  • May 2006