2 citations · 2 across the 1 of their papers we have counts for
8 papers
Modular representations of Lie algebras of reductive groups and Humphreys' conjecture
Alexander Premet, Lewis Topley
Let be connected reductive algebraic group defined over an algebraically closed field of characteristic and suppose that is a good prime for the root system of ,…
Restricted shifted Yangians and restricted finite -algebras
Simon M. Goodwin, Lewis Topley
We study the truncated shifted Yangian over an algebraically closed field of characteristic , which is known to be isomorphic to the finite -alg…
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 . The first predicts the maximal…
Minimal dimensional representations of reduced enveloping algebras for
Simon M. Goodwin, Lewis Topley
Let , where is an algebraically closed field of characteristic , and . Let and denote by…
On the semi-centre of a Poisson algebra
Cesar Lecoutre, Lewis Topley
If is a Lie algebra then the semi-centre of the Poisson algebra is the subalgebra generated by ad-eigenvectors. In this paper we ab…
Transfer results for Frobenius extensions
Stephane Launois, Lewis Topley
We study Frobenius extensions which are free-filtered by a totally ordered, finitely generated abelian group, and their free-graded counterparts. First we show that the Frobenius p…