L. Topley

activity

20112026

most citedDerived subalgebras of centralisers and finite W-algebras

21 citations · 38 across the 17 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

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.GR2018

Smoothness of stabilisers in generic characteristic

Benjamin Martin, David I. Stewart, Lewis Topley

Let $R$ be a commutative unital ring. Given a finitely presented affine $R$ -group scheme $G$ acting on a separated scheme $X$ of finite type over $R$ , we show that there is a prime…

math.RT2018★ 9 cited

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…

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

Smoothness of stabilisers in generic characteristic

Minimal dimensional representations of reduced enveloping algebras for gln​

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