Null Lagrangians in free Novikov algebras
Rings and Algebras
2026-01-19 v1
Abstract
We study the symmetrization of the Novikov product. Using the embedding of a free Novikov algebra into a differential algebra over a field of characteristic zero and the Euler operators (variational derivatives), we show that the space of null Lagrangians coincides with the subspace of elements closed under the symmetrized product . We also completely describe its module structure over symmetric group.
Cite
@article{arxiv.2601.11168,
title = {Null Lagrangians in free Novikov algebras},
author = {Askar Dzhumadil'daev and Nurlan Ismailov},
journal= {arXiv preprint arXiv:2601.11168},
year = {2026}
}