An Algebra-level Version of a Link-polynomial Identity of Lickorish

نویسندگان

  • MICHAEL J. LARSEN
  • ERIC C. ROWELL
چکیده

We establish isomorphisms between certain specializations of BMW algebras and the symmetric squares of TemperleyLieb 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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تاریخ انتشار 2008