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

Michael J. Larsen·Eric C. Rowell
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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.

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Michael J. Larsen, Eric C. Rowell. 2006-05-16. An algebra-level version of a link-polynomial identity of Lickorish. https://arxiv.org/abs/math/0605455

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