Affine and degenerate affine BMW algebras: Actions on tensor space
Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
Last update: 13 October 2013
Contents
1 
Actions of general type tantalizers
1.2 
The degenerate affine braid algebra action

1.2 
The affine braid group action


2 
Actions of classical type tantalizers
2.1 
The degenerate affine BMW algebra action

2.2 
The affine BMW algebra action


3 
Central element transfer via SchurWeyl duality
3.1 
Central elements ${z}_{V}^{\left(\ell \right)}$

3.2 
Central elements ${Z}_{V}^{\left(\ell \right)}$


4 
Symplectic and orthogonal higher Casimir elements
4.1 
The central elements ${z}_{V}^{\left(\ell \right)}$ as higher Casimir elements

4.2 
The central elements ${Z}_{V}^{\left(\ell \right)}$ as quantum higher Casimir elements


Notes and references
This is a typed exert of the paper Affine and degenerate affine BMW algebras: Actions on tensor space by Zajj Daugherty, Arun Ram and Rahbar Virk.
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