## Affine and degenerate affine BMW algebras: Actions on tensor space

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 Schur-Weyl 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.