L. Topley

activity

20162020

most citedRestricted shifted Yangians and restricted finite

W

-algebras

2 citations · 2 across the 1 of their papers we have counts for

collaborators

Showing math.RTShow all

6 papers · 1 filter

math.RT2020

Modular representations of Lie algebras of reductive groups and Humphreys' conjecture

Alexander Premet, Lewis Topley

Let $G$ be connected reductive algebraic group defined over an algebraically closed field of characteristic $p > 0$ and suppose that $p$ is a good prime for the root system of $G$ ,…

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…

math.RT2018

A proof of the first Kac-Weisfeiler conjecture in large characteristics

Benjamin Martin, David Stewart, Akaki Tikaradze +1

In 1971, Kac and Weisfeiler made two influential conjectures describing the dimensions of simple modules of a restricted Lie algebra $g$ . The first predicts the maximal…

math.RT2018

Minimal dimensional representations of reduced enveloping algebras for $gl_{n}$

Simon M. Goodwin, Lewis Topley

Let $g = gl_{N} (k)$ , where $k$ is an algebraically closed field of characteristic $p > 0$ , and $N \in Z_{\geq 1}$ . Let $χ \in g^{*}$ and denote by…

math.RT2017

Modular finite $W$ -algebras

Simon M. Goodwin, Lewis W. Topley

Let $k$ be an algebraically closed field of characteristic $p > 0$ and let $G$ be a connected reductive algebraic group over $k$ . Under some standard hypothesis on $G$ , we give a d…

math.RT2016

A non-restricted counterexample to the first Kac-Weisfeiler conjecture

Lewis Topley

In 1971 Kac and Weisfeiler made two important conjectures regarding the representation theory of restricted Lie algebras over fields of positive characteristic. The first of these…