English

Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras

Rings and Algebras 2025-03-25 v1

Abstract

In this paper, we introduce the representation of modified λ\lambda-differential 33-Lie algebras and define the cohomology of modified λ\lambda-differential 33-Lie algebras with coefficients in a representation. As applications of the proposed cohomology theory, we study linear deformations, abelian extensions and TT^*-extensions of modified λ\lambda-differential 33-Lie algebras.

Keywords

Cite

@article{arxiv.2308.07755,
  title  = {Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras},
  author = {Wen Teng and Hui Zhang},
  journal= {arXiv preprint arXiv:2308.07755},
  year   = {2025}
}
R2 v1 2026-06-28T11:56:02.456Z