Non-alternating Hamiltonian Lie algebras in characteristic 2.I
Rings and Algebras
2019-01-01 v1
Abstract
The classification of graded non-alternating Hamiltonian Lie algebras over perfect field of characteristic 2 is obtained. It is shown that the filtered deformations of such algebras correspond to non-alternating Hamiltonian forms with polynomial coefficients in divided powers. It is proved that graded non-alternating Hamiltonian algebras are rigid with respect to filtered deformations except for some cases when the number of variables is 2, 3, 4 or when the heights of some variables are equal to 1.
Keywords
Cite
@article{arxiv.1812.11213,
title = {Non-alternating Hamiltonian Lie algebras in characteristic 2.I},
author = {A. V. Kondrateva and M. I. Kuznetsov and N. G. Chebochko},
journal= {arXiv preprint arXiv:1812.11213},
year = {2019}
}