Maximal subalgebras of exceptional Lie algebras over fields of good characteristic.

Alexander Premet (University of Manchester)

Wednesday 18th March, 2015 16:00-17:00 Maths 516


In my talk, based on joint work with David Stewart, I will discuss the problem of classifying maximal subalgebras of Lie algebras of the form  g=Lie(G) where G is a simple algebraic group over an algebraically closed  field. The maximal connected subgroups of G have been classified by Dynkin in characteristic 0 and by Seitz, Testerman and Liebeck-Seitz in characteristic p>0. The problem of classifying maximal subalgebras of g in  characteristic p>0  is open at the moment,  but I will report on recent progress in the case of exceptional groups. 

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