Simon M. Goodwin

activity

20052026

most citedPrincipal W-algebras for GL(m|n)

36 citations · 88 across the 30 of their papers we have counts for

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25 papers · 1 filter

math.RT2026

On the Index of Borel Subalgebras of Lie Superalgebras

Simon M. Goodwin, Samuel Renforth

Let $b = h \oplus n$ be a Borel subalgebra of a basic classical Lie superalgebra over $C$ with $h$ a Cartan subalgebra. We give an…

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.RT2024

Monogamous subvarieties of the nilpotent cone

Simon M. Goodwin, Rachel Pengelly, David I. Stewart +1

Let $G$ be a reductive algebraic group over an algebraically closed field $k$ of prime characteristic not $2$ , whose Lie algebra is denoted $g$ . We call a subvariety $\m…

math.RT2023

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.RT2021

On $sl_{2}$ -triples for classical algebraic groups in positive characteristic

Simon M. Goodwin, Rachel Pengelly

Let $k$ be an algebraically closed field of characteristic $p > 2$ , let $n \in Z_{> 0}$ , and take $G$ to be one of the classical algebraic groups $GL_{n} (k)$ , $\mathr…

math.RT2019★ 2 cited

Restricted shifted Yangians and restricted finite $W$ -algebras

Simon M. Goodwin, Lewis Topley

We study the truncated shifted Yangian $Y_{n, l} (σ)$ over an algebraically closed field $k$ of characteristic $p > 0$ , which is known to be isomorphic to the finite $W$ -alg…