Towards classification of simple finite dimensional modular Lie superalgebras
Dimitry A. Leites
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Submission date: 14. Nov. 2006
published in: Journal of prime research in mathematics, 3 (2007), p. 101-110
MSC-Numbers: 17B50, 70F25
Keywords and phrases: Cartan prolongation, Kostrikin-Shafarevich conjecture, modular Lie algebra, Lie superalgebra
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A conjectural way to construct all (only all graded in characteristic 2) simple finite dimensional modular Lie algebras and Lie superalgebras over algebraically closed fields is offered. The conjecture is backed up with the latest results computationally most difficult of which are obtained with the help of Grozman's software package SuperLie.