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SUMMARY:Classifying maximal subalgebras of exceptional Lie algebras over f
 ields of good characteristic - Alexander Premet\, University of Manchester
DTSTART:20141112T163000Z
DTEND:20141112T173000Z
UID:TALK55647@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:In the 1950s\,  Dynkin  classified all maximal subalgebras of 
 Lie(G) in the case where char(K)=0. When char(K)=p>0\, \nall maximal conne
 cted subgroups of G  are classified in a series of papers by Seitz\, Teste
 rman and Liebeck-Seitz.\n\nHowever\, in the modular case\, a classificatio
 n of maximal Lie subalgebras of Lie(G) remains unknown at the\npresent tim
 e\, and already in type G_2  we see some new examples of maximal subalgebr
 as which have no\nanalogues in the characteristic 0 case. In my talk I wil
 l report  on recent progress in solving this  problem in the case \nwhere 
 char(K) is a good prime for the root system of G. This is based on the joi
 nt work with David Stewart.
LOCATION:MR12
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