Matthew Westaway

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20242026

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math.RT2026

Parabolic induction for modular finite $W$ -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 $W$ -algebras. First of al…

math.RT2026

Quantization of nilpotent coadjoint $G L_{N}$ -orbit closures in positive characteristics

Filippo Ambrosio, Lewis Topley, Matthew Westaway

Let $G$ be a reductive group over an algebraically closed field of positive characteristic $p$ , good for the root system of $G$ . The closures of $G$ -orbits in the Hilbert nullcone…

math.RT2025

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 $g$ over $C$ are those ideals const…

math.RT2024

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 $g$ of reductive algebraic groups $G$ over algebraically closed fields ${\m…

Parabolic induction for modular finite W-algebras

Quantization of nilpotent coadjoint GLN​-orbit closures in positive characteristics

On induced completely prime primitive ideals in enveloping algebras of classical Lie algebras

Two problems in the representation theory of reduced enveloping algebras

Parabolic induction for modular finite $W$ -algebras

Quantization of nilpotent coadjoint $G L_{N}$ -orbit closures in positive characteristics