In this paper, we first introduce the concept and representations of modified λ-differential Lie-Yamaguti algebras. We then establish the cohomology of a modified λ-differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified λ-differential Lie-Yamaguti algebras by using the second cohomology group.
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Wen Teng (2024) studied this question.
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