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

abstract

  • 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. © 2008 Copyright Cambridge Philosophical Society 2008.

author list (cited authors)

  • LARSEN, M. J., & ROWELL, E. C.

citation count

  • 6

complete list of authors

  • LARSEN, MICHAEL J||ROWELL, ERIC C

publication date

  • May 2008