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arXiv · 1203.4628

A remark on BMW algebra, q-Schur algebras and categorification

Pedro Vaz·Emmanuel Wagner
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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 construct categorifications of the so(2N)-BMW algebra.

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Pedro Vaz, Emmanuel Wagner. 2012-03-21. A remark on BMW algebra, q-Schur algebras and categorification. https://doi.org/10.4153/cjm-2013-018-1

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