Modified Rota-Baxter Lie-Yamaguti algebras
arxiv(2024)
摘要
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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