Semisimple Lie Theory seminar

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Schur functors, Young tableaux, and representation theory”

In this talk, we give an introduction to tensor symmetry and the beautiful role played by Young tableaux (which are combinatorial objects) in the representation theory of Lie groups and Lie algebras. We will discuss Schur-Weyl duality, Schur functors, and representations of the general linear, special linear, and unitary groups. Time permitting, we may also discuss other topics, such as the hook length formula.