L. Topley

activity

20242026

collaborators

Showing math.RTShow all

4 papers · 1 filter

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.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

Modular representations of the Yangian $Y_{2}$

Hao Chang, Jinxin Hu, Lewis Topley

Let $Y_{2}$ be the Yangian associated to the general linear Lie algebra $gl_{2}$ , defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p > 0$ . In this…

math.RT2024

Modular Representations of Truncated current Lie algebras

Matthew Chaffe, Lewis Topley

In this paper we consider the structure and representation theory of truncated current algebras $g_{m} = g [t] / (t^{m + 1})$ associated to the Lie algebra $\mathfra…

Parabolic induction for modular finite W-algebras

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

Modular representations of the Yangian Y2​

Modular Representations of Truncated current Lie algebras

Parabolic induction for modular finite $W$ -algebras

Modular representations of the Yangian $Y_{2}$