The affine nilTemperley-Lieb algebra

Joanna Meinel (University of Bonn)

Wednesday 17th June, 2015 16:00-17:00 Maths 516

Abstract

The affine nilTemperley-Lieb algebra acts very naturally on fermionic particle configurations on a circle. We study this action and obtain a description of the centre of the algebra. Furthermore, we describe a normal form algorithm for monomials that is motivated by the combinatorics of the action. This is joint work with Georgia Benkart.

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