Modified Rota-Baxter Lie-Yamaguti algebras

2024/01/31 by Teng, Wen, Guo, Shuangjian
#17B38 #17B56 #17B60 #17D99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2401.17726

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.

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