2014/09/12 by Sebastian Herpel, David I. Stewart, Herpel, Sebastian +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.GR #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1409.3861
32 pages; previous version missed two Hamiltonian cases
arxiv created 2014/11/03 · arxiv updated 2014/11/04
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 that the prime characteristic is good for \g. In this paper we deal with what is surely the most unnatural case; that is, where the maximal subalgebra in question is a simple subalgebra of non-classical type. We show that only the first Witt algebra can occur as a subalgebra of \g and give explicit details on when it may be maximal in \g.