University of Sydney Algebra Seminar

Anthony Licata (ANU)

Wednesday 13th November, 2:05-2:55pm, Carslaw 173

Wreath products, Littlewood-Richardson coefficients, and braid groups

Wreath products of the symmetric group with a finite dimensional algebra like \C[x]/x^k appear in a variety of places in representation theory. The goal of this talk will be to describe the relationship between representation categories of such wreath products and the ring of symmetric functions; we will also explain the generalised Littlewood-Richardson rules that appear as a result. These Littlewood-Richardson rules have applications in the representation theory of (double) affine braid groups. Some parts of this are joint work with Erik Carlsson, and others are joint with Sabin Cautis.