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

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.

26 pages. v2: minor changes

References in corpus (3)

• A basis for the Birman-Wenzl algebra
• Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial
• On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials