Simple Novikov--Poisson algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1396-1404
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We proved if $A$ is a simple Novikov — Poisson (super)algebra then their Novikov part is a simple algebra when field characteristic is not 2. Also we obtained all finite dimension simple Novikov — Poisson algebras over a field of characteristic not $2$.
Keywords:
Novikov (super)algebra, differential algebra, commutative algebra, simple algebra.
Mots-clés : Novikov — Poisson (super)algebra
Mots-clés : Novikov — Poisson (super)algebra
@article{SEMR_2023_20_2_a18,
author = {A. S. Zakharov},
title = {Simple {Novikov--Poisson} algebras},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {1396--1404},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a18/}
}
A. S. Zakharov. Simple Novikov--Poisson algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1396-1404. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a18/