English

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

Quantum Algebra 2019-08-15 v2

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.

Keywords

Cite

@article{arxiv.1203.4628,
  title  = {A remark on BMW algebra, q-Schur algebras and categorification},
  author = {Pedro Vaz and Emmanuel Wagner},
  journal= {arXiv preprint arXiv:1203.4628},
  year   = {2019}
}

Comments

26 pages. v2: minor changes