Tuesday, October 18, 15:00, 7.527

Joanna Meinel
Affine nilTemperley-Lieb algebras, partic algebras, and combinatorics of particle configurations

Abstract:
Affine nilTemperley-Lieb algebras and partic algebras can be defined by generators and relations. The defining relations are difficult to work with, but these algebras can be studied by considering their faithful actions on fermionic and bosonic particle configurations, respectively. This allows to describe bases and the centres of these algebras. As an application, we give a classification of simple modules for the affine nilTemperley-Lieb algebra.