The normal shapes of the symplectic and contact forms over algebras of divided powers

TL;DR

This paper classifies differential forms that parametrize finite-dimensional Lie algebras of Hamiltonian and contact Cartan types over fields of positive characteristic, providing previously unpublished results from a 1986 manuscript.

Contribution

It offers a complete classification of these differential forms, advancing understanding of Lie algebras in positive characteristic.

Findings

Classification of differential forms for Hamiltonian and contact Lie algebras

New results not previously published

Provides a foundation for further research in algebraic structures

Abstract

This text is the English translation of a 1986 manuscript which gives the classification of the differential forms parametrizing the finite-dimensional Lie algebras of hamiltonian and contact Cartan types over fields of positive characteristic. The results of this paper have not been previously published in full.