Tuesday, April 24, 14:00, 7.527
Antoine Touzé (Lille), Functorial Steinberg tensor product theorems.
R. Steinberg has proved several tensor decomposition theorems, which are of
fundamental importance in the representation theory of algebraic groups and
finite groups of Lie type.
In this talk, we will explain similar tensor product theorems in the context
of generic representation theory (aka representations of small additive
categories - in the spirit of some work of N. Kuhn or M. Auslander). As an
application of this approach, we obtain new proofs of the classical
decomposition theorems of Steinberg for GLn, as well as generalizations for
more general finite dimensional algebras.