Classifying maximal subalgebras of exceptional Lie algebras over fields of good characteristic

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• Alexander Premet, University of Manchester
• Wednesday 12 November 2014, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

In the 1950s, Dynkin classified all maximal subalgebras of Lie(G) in the case where char(K)=0. When char(K)=p>0, all maximal connected subgroups of G are classified in a series of papers by Seitz, Testerman and Liebeck-Seitz.

However, in the modular case, a classification of maximal Lie subalgebras of Lie(G) remains unknown at the present time, and already in type G_2 we see some new examples of maximal subalgebras which have no analogues in the characteristic 0 case. In my talk I will report on recent progress in solving this problem in the case where char(K) is a good prime for the root system of G. This is based on the joint work with David Stewart.

This talk is part of the Algebra and Representation Theory Seminar series.

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