3 papers
math.RA2024
Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications
Wen Teng, Shuangjian Guo
The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Rey…
math.RA2024
Deformations and extensions of modified -differential Lie-Yamaguti algebras
Wen Teng
In this paper, we first introduce the concept and representations of modified -differential Lie-Yamaguti algebras. We then establish the cohomology of a modified -differentia…
math.RA2024
Modified Rota-Baxter Lie-Yamaguti algebras
Wen Teng, Shuangjian Guo
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…