English

Split extensions of BiHom-Lie algebras

Rings and Algebras 2021-12-23 v1

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.

Keywords

Cite

@article{arxiv.2112.11995,
  title  = {Split extensions of BiHom-Lie algebras},
  author = {Nejib Saadaoui},
  journal= {arXiv preprint arXiv:2112.11995},
  year   = {2021}
}