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

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

2012-03-21

arxiv.org/abs/1203.4628v1

Mathematics

Quantum Algebra

26 pages

Scientific paper

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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