Split extensions of BiHom-Lie algebras
Nejib Saadaoui

TL;DR
This paper introduces the concept of split extensions in BiHom-Lie algebras, develops their cohomology, and establishes a classification correspondence with second cohomology groups.
Contribution
It defines split extensions for BiHom-Lie algebras, constructs their cohomology, and links extension classes to second cohomology, advancing the structural understanding of these algebras.
Findings
Defined split extensions of BiHom-Lie algebras.
Constructed the cohomology theory for these extensions.
Established a bijective correspondence with second cohomology groups.
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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Taxonomy
TopicsAdvanced Topics in Algebra
