Affine and degenerate affine BMW algebras: The center
Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
Last update: 18 October 2013
Contents
1 
Introduction

2 
Affine and degenerate affine BMW algebras
2.1 
The degenerate affine braid algebra ${\mathcal{B}}_{k}$

2.2 
The degenerate affine BMW algebra ${\mathcal{W}}_{k}$

2.3 
The affine braid group ${B}_{k}$

2.4 
The affine BMW algebra ${W}_{k}$


3 
Identities in affine and degenerate affine BMW algebras
3.1 
The degenerate affine case

3.2 
The affine case


4 
The center of the affine and degenerate affine BMW algebras
4.1 
A basis of ${\mathcal{W}}_{k}$

4.2 
The center of ${\mathcal{W}}_{k}$

4.3 
A basis of ${W}_{k}$

4.4 
The center of ${W}_{k}$


Notes and references
This is a typed exert of the paper Affine and degenerate affine BMW algebras: The center by Zajj Daugherty, Arun Ram and Rahbar Virk.
page history