Affine and degenerate affine BMW algebras: the center

@article{Daugherty2011AffineAD,
  title={Affine and degenerate affine BMW algebras: the center},
  author={Zajj Daugherty and Arun Ram and Rahbar Virk},
  journal={Osaka Journal of Mathematics},
  year={2011},
  volume={51},
  pages={257-283}
}
The degenerate affine and affine BMW algebras arise naturally in the co ntext of SchurWeyl duality for orthogonal and symplectic Lie algebras and quantum groups, respectively. Cyclotomic BMW algebras, affine Hecke algebras, cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper the theory is unified by treating the orthogonal and symplectic cases simultaneously; we make an exact parallel between the degenerate affine and affine cases via a new algebra which takes… 
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