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Deformations and extensions of modified $λ$-differential Lie-Yamaguti algebras (2403.17015v1)

Published 13 Feb 2024 in math.RA

Abstract: In this paper, we first introduce the concept and representations of modified $\lambda$-differential Lie-Yamaguti algebras. We then establish the cohomology of a modified $\lambda$-differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified $\lambda$-differential Lie-Yamaguti algebras by using the second cohomology group.

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