An algebra-level version of a link-polynomial identity of Lickorish
Quantum Algebra
2008-05-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0605455,
title = {An algebra-level version of a link-polynomial identity of Lickorish},
author = {Michael J. Larsen and Eric C. Rowell},
journal= {arXiv preprint arXiv:math/0605455},
year = {2008}
}
Comments
21 pages, 2 figures