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

• Autores: Michael J. Larsen, Eric C. Rowell
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 3, 2008, págs. 623-638
• Idioma: inglés
• DOI: 10.1017/s0305004107000424
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• Resumen

  • We establish isomorphisms between certain specializations of BMW 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.