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math.RT2024
Monogamous subvarieties of the nilpotent cone
Simon M. Goodwin, Rachel Pengelly, David I. Stewart +1
Let be a reductive algebraic group over an algebraically closed field of prime characteristic not , whose Lie algebra is denoted . We call a subvariety $\m…
math.RT2024★ 1 cited
On extensions of the Jacobson-Morozov theorem to even characteristic
David I. Stewart, Adam R. Thomas
Let G be a simple algebraic group over an algebraically closed field k of characteristic 2. We consider analogues of the Jacobson-Morozov theorem in this setting. More precisely, w…
math.RT2015★ 11 cited
The Jacobson--Morozov theorem and complete reducibility of Lie subalgebras
Adam R. Thomas, David I. Stewart
In this paper we determine the precise extent to which the classical sl_2-theory of complex semisimple finite-dimensional Lie algebras due to Jacobson--Morozov and Kostant can be e…