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

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dc.creatorLarsen, Michael J.
dc.creatorRowell, Eric C.
dc.date2006-05-16
dc.date.accessioned2026-07-07T09:41:09Z
dc.date.available2026-07-07T09:41:09Z
dc.descriptionWe 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.
dc.description21 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0605455
dc.identifierhttp://arxiv.org/abs/math/0605455
dc.identifierMath. Proc. Cambridge Philos. Soc. vol. 144, no. 3, (2008), 623--638.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161731
dc.subjectQuantum Algebra
dc.subject20F36; 17B37; 16S99; 05E10
dc.titleAn algebra-level version of a link-polynomial identity of Lickorish
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