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math.AG2014
Cocharacter-closure and the rational Hilbert-Mumford Theorem
Michael Bate, Sebastian Herpel, Benjamin Martin +1
For a field k, let G be a reductive k-group and V an affine k-variety on which G acts. Using the notion of cocharacter-closed G(k)-orbits in V, we prove a rational version of the c…
math.RA2014
Maximal subalgebras of Cartan type in the exceptional Lie algebras
Sebastian Herpel, David I. Stewart
In this paper we initiate the study of the maximal subalgebras of exceptional simple classical Lie algebras \g over algebraically closed fields k of positive characteristic p, such…
math.GR2014★ 3 cited
On the smoothness of normalisers and the subalgebra structure of modular Lie algebras
Sebastian Herpel, David I. Stewart
We provide results on the smoothness of normalisers in connected reductive algebraic groups over fields of positive characteristic . Specifically we we give bounds on $p…