An algebra-level version of a link-polynomial identity of Lickorish Academic Article uri icon

abstract

  • AbstractWe establish isomorphisms between certain specializations of BMW algebras and the symmetric squares of TemperleyLieb 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.

published proceedings

  • MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

author list (cited authors)

  • Larsen, M. J., & Rowell, E. C.

citation count

  • 7

complete list of authors

  • Larsen, Michael J||Rowell, Eric C

publication date

  • May 2008