Non-alternating Hamiltonian Lie algebras in three variables
Rings and Algebras
2021-01-05 v1
Abstract
Non-alternating Hamiltonian Lie algebras in three variables over a perfect field of characteristic 2 are considered. A classification of non-alternating Hamiltonian forms over an algebra of divided powers in three variables and of the corresponding simple Lie algebras is given. In particular, it is shown that the non-alternating Hamiltonian form may not be equivalent to its linear part. It is proved that the Lie algebras which correspond to the nonequivalent forms are not isomorphic.
Keywords
Cite
@article{arxiv.2101.00398,
title = {Non-alternating Hamiltonian Lie algebras in three variables},
author = {A. V. Kondrateva},
journal= {arXiv preprint arXiv:2101.00398},
year = {2021}
}