Towards classification of simple finite dimensional modular Lie superalgebras

Dimitry A. Leites

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Submission date: 14. Nov. 2006
Pages: 12
published in: Journal of prime research in mathematics, 3 (2007), p. 101-110 
Bibtex
MSC-Numbers: 17B50, 70F25
Keywords and phrases: Cartan prolongation, Kostrikin-Shafarevich conjecture, modular Lie algebra, Lie superalgebra
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Abstract:
A conjectural way to construct all simple finite dimensional modularLie (super)algebras over algebraically closed fields is offered (in charac-teristic 2, all graded by integers Lie (super)algebras are expected to beobtained in this way and only part of the non-graded ones). The conjec-ture is backed up with the latest results computationally most difficultof which are obtained with the help of Grozman’s software package Su-perLie.