Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras

By Abdenacer Makhlouf, Sergei Silvestrov. 2010

236 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a126ab6d79af6da7616d61f0e0014f1f28412b28

Citations in the corpus

• On universal central extensions of Hom-Lie algebras (2012, unknown): “In this way, the notion of Hom-Leibniz algebra was first introduced in [15] as Kvector spaces L together with a linear map α :L → L, endowed with a bilinear bracket operation [−,−] :L × L → L which satisfies the Hom-Leibniz identity [α(x), [y, z]] = [[x, y], α(z)] − [[x, z], α(y)], for all x, y, z ∈”