Modified Rota-Baxter Lie-Yamaguti algebras
Rings and Algebras
2024-02-01 v1
Abstract
In this paper, first we introduce the concept of modified Rota-Baxter Lie-Yamaguti algebras. Then the cohomology of a modified Rota-Baxter Lie-Yamaguti algebra with coefficients in a suitable representation is established. As applications, the formal deformations and abelian extensions of modified Rota-Baxter Lie-Yamaguti algebras are studied using the second cohomology group.
Cite
@article{arxiv.2401.17726,
title = {Modified Rota-Baxter Lie-Yamaguti algebras},
author = {Wen Teng and Shuangjian Guo},
journal= {arXiv preprint arXiv:2401.17726},
year = {2024}
}