Modular representations of semisimple Lie algebras

Abstract: Let G be a semisimple algebraic group over an algebraically closed field F of very large positive characteristic. We give a combinatorial classification and find Kazhdan-Lusztig type character formulas for modules over the Lie algebra $\mathfrak{g}$ that are equivariantly irreducible with respect to an action of a certain subgroup of G whose connected component is a torus. This is a joint work with Roman Bezrukavnikov.

mathematical physicsalgebraic geometrycategory theoryrepresentation theory

Audience: researchers in the topic

UMass Amherst Representation theory seminar