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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
132/2006

Towards classification of simple finite dimensional modular Lie superalgebras

Dimitry A. Leites

Abstract

A conjectural way to construct all simple finite dimensional modular Lie (super)algebras over algebraically closed fields is offered (in characteristic 2, all graded by integers Lie (super)algebras are expected to be obtained in this way and only part of the non-graded ones). 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.

Received:
Nov 14, 2006
Published:
Nov 14, 2006
MSC Codes:
17B50, 70F25
Keywords:
Cartan prolongation, Kostrikin-Shafarevich conjecture, modular Lie algebra, Lie superalgebra

Related publications

inJournal
2007 Journal Open Access
D. A. Leites

Towards classification of simple finite dimensional modular Lie superalgebras

In: Journal of prime research in mathematics, 3 (2007), pp. 101-110