19 citations · 63 across the 19 of their papers we have counts for
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The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits
Alexander Premet, David Stewart
In this paper we describe the number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits in finite-dimensional simple Lie algebras. Thanks to the resul…
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…
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…
On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilisers
David I. Stewart
Let G be a simple simple-connected exceptional algebraic group of type G_2, F_4, E_6 or E_7 over an algebraically closed field k of characteristic p>0 with \g=Lie(G). For each nilp…
Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic
Alexander Premet, David I. Stewart
Let be a simple simply-connected algebraic group over an algebraically closed field of characteristic with . We discuss various properties…
Stabilisation of the LHS spectral sequence for algebraic groups
Alison E. Parker, David I. Stewart
In this note, we consider the Lyndon--Hochschild--Serre spectral sequence corresponding to the first Frobenius kernel of an algebraic group G, computing the extensions between simp…