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 ${ℬ}_k$ 2.2 The degenerate affine BMW algebra ${𝒲}_k$ 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 ${𝒲}_k$ 4.2 The center of ${𝒲}_k$ 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.

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