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

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.

authors

• Rowell, Eric

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

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Cambridge Philosophical Society: Mathematical Proceedings  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1017/S0305004107000424

start page

• 623

end page

• 638

volume

• 144

issue

• 3

URL

• http://dx.doi.org/10.1017/s0305004107000424