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

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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.
21 pages, 2 figures

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Quantum Algebra, 20F36; 17B37; 16S99; 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/161731

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605455
 http://arxiv.org/abs/math/0605455
 Math. Proc. Cambridge Philos. Soc. vol. 144, no. 3, (2008), 623--638.

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arXiv