5 papers
Parabolic induction for modular finite -algebras
Simon Goodwin, Lewis Topley, Matt Westaway
We study the modules of minimal dimension for reduced enveloping algebras of Lie algebras of reductive algebraic groups using the theory of modular finite -algebras. First of al…
Quantization of nilpotent coadjoint -orbit closures in positive characteristics
Filippo Ambrosio, Lewis Topley, Matthew Westaway
Let be a reductive group over an algebraically closed field of positive characteristic , good for the root system of . The closures of -orbits in the Hilbert nullcone…
Birational induction of nilpotent orbit covers in exceptional types
Matthew Westaway
Let be a semisimple simply connected algebraic group over of exceptional type. For each -equivariant nilpotent cover of a nilpotent coadjoint -orbit ${\math…
On induced completely prime primitive ideals in enveloping algebras of classical Lie algebras
Simon M. Goodwin, Lewis Topley, Matthew Westaway
A distinguished family of completely prime primitive ideals in the universal enveloping algebra of a reductive Lie algebra over are those ideals const…
Two problems in the representation theory of reduced enveloping algebras
Matthew Westaway
In this paper we consider two problems relating to the representation theory of Lie algebras of reductive algebraic groups over algebraically closed fields ${\m…