University of Sydney Algebra Seminar

Peter McNamara (University of Queensland)

Friday 22 April, 12-1pm, Place: Carslaw 375

The categorifed braid group action and its consequences

It is well known that the braid group acts on a quantised enveloping algebra by algebra automorphisms. We discuss the categorification of this braid group action and some of its consequences. Applications include constructing reflection functors for KLR algebras, and a theory of restricting a categorical representation along a face of a Weyl polytope.