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 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.

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