Deformations and extensions of modified $\lambda$-differential Lie-Yamaguti algebras
Rings and Algebras
2025-09-18 v1
Abstract
In this paper, we first introduce the concept and representations of modified -differential Lie-Yamaguti algebras. We then establish the cohomology of a modified -differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified -differential Lie-Yamaguti algebras by using the second cohomology group.
Keywords
Cite
@article{arxiv.2403.17015,
title = {Deformations and extensions of modified $\lambda$-differential Lie-Yamaguti algebras},
author = {Wen Teng},
journal= {arXiv preprint arXiv:2403.17015},
year = {2025}
}