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Split extensions of BiHom-Lie algebras

Published 22 Dec 2021 in math.RA | (2112.11995v1)

Abstract: In this paper, we introduce the notion of split extension of BiHom- Lie algebra and construct the corresponding cohomology. Also, we establish a one-to-one correspondence between the equivalence classes of extensions of a BiHom-Lie algebra L by an abelian BiHom-Lie algebra V and its second cohomology group.

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