Conference talk entitled: Higher Modular Representations of Lie Algebras

Description

Abstract of talk:

In positive characteristic, a representation of an algebraic group G gives rise to a restricted representation of Lie(G). Restricted representations are more connected to the representation theory of the "first Frobenius kernel" of G - a certain infinitesimal group scheme - than that of G itself. One can deform the so-called "distribution algebra" of this first Frobenius kernel in some way to obtain a family of associative algebras. The irreducible representation theory of these algebras totally captures the irreducible (not necessarily restricted) representations of Lie(G). It is this theory which will be explained during this talk, as well as a consideration of how the theory changes when we instead look at higher Frobenius kernels.

Period	24 Mar 2021
Event title	Colloque Tournant 2021 du GDR Théorie de Lie Algébrique et Géométrique
Event type	Conference
Location	Rennes, FranceShow on map
Degree of Recognition	International