David I. Stewart

activity

20092022

most citedRigid orbits and sheets in reductive Lie algebras over fields of prime characteristic

19 citations · 63 across the 19 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.RT2017

Irreducible modules for pseudo-reductive groups

Michael Bate, David I. Stewart

We classify the irreducible representations of smooth, connected affine algebraic groups over a field, by tackling the case of pseudo-reductive groups. We reduce the problem of cal…

math.RA2017

Classification of the maximal subalgebras of exceptional Lie algebras over fields of good characteristic

Alexander Premet, David I. Stewart

Let $G$ be an exceptional simple algebraic group over an algebraically closed field $k$ and suppose that the characteristic $p$ of $k$ is a good prime for $G$ . In this paper we cla…

math.GR2017

On unipotent radicals of pseudo-reductive groups

Michael Bate, Benjamin Martin, Gerhard Roehrle +1

We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, our main theorem gives bounds on the nilpotency class of…