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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
79/2006

Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras

Alexei Lebedev

Abstract

Non-degenerate bilinear forms over fields of characteristic 2, in particular, non-symmetric ones, are classified with respect to various equivalences, and the Lie algebras preserving them are described. Although it is known that there are two series of distinct finite simple Chevalley groups preserving the non-degenerate symmetric bilinear forms on the space of even dimension, the description of simple Lie algebras related to the ones that preserve these forms is new. The classification of 1-forms is shown to be related to one of the considered equivalences of bilinear forms. A version of the above results for superspaces is also given.

Received:
Aug 22, 2006
Published:
Aug 22, 2006
MSC Codes:
17B60
Keywords:
Lie algebras, Lie superalgebras

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Preprint
2006 Repository Open Access
Alexei Lebedev

Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras