Tuesday, October 18, 15:00, 7.527
Affine nilTemperley-Lieb algebras, partic algebras, and combinatorics of
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.