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Abstract
We prove that the 2-variable BMW algebra embeds into an algebra constructed from the HOMFLY-PT polynomial. We also prove that the so(2n)-BMW algebra embeds in the q-Schur algebra of type A. We use these results to suggest a schema providing categorifications of the so(2n)-BMW algebra.
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Dos Santos Santana Forte Vaz, P., & Wagner, E. (2013). A Remark on BMW algebra, q-Schur Algebras and Categorification. Canadian Journal of Mathematics. Accepted/in-press. https://doi.org/10.4153/CJM-2013-018-1 (Original work published 2013)