University of Sydney Algebra Seminar

Kevin McGerty (University of Chicago)

Friday 29th July, 12.05-12.55pm, Carslaw 275

The Kronecker quiver and affine sl₂

In the 80s Drinfel'd discovered a "new presentation" of an affine quantum group, which despite its initially daunting nature proved extremely useful in the study of finite dimensional representations. We will show that, at least in the case of sl₂, this presentation can be understood from the perspective of the Hall algebra of the Kronecker quiver.