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Deformations and extensions of modified $λ$-differential $3$-Lie Algebras (2308.07755v1)
Published 14 Aug 2023 in math.RA
Abstract: In this paper, we introduce the representation of modified $\lambda$-differential $3$-Lie algebras and define the cohomology of modified $\lambda$-differential $3$-Lie algebras with coefficients in a representation. As applications of the proposed cohomology theory, we study linear deformations, abelian extensions and $T*$-extensions of modified $\lambda$-differential $3$-Lie algebras.
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