2020/01/07 by Hadjer Adimi, Taoufik Chtioui, Adimi, Hadjer +5
Mathematics · #17A15 #17D05 #17D10 #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2001.02308
openalex publication_date 2020/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main goal of this paper is to give some construction results of BiHom-post-Lie algebras which are a generalization of both post-Lie-algebras and Hom-post-Lie algebras. They are the algebraic structures behind the O-operator of BiHom-Lie algebras. They can be also regarded as the splitting into three parts of the structure of a BiHom-Lie-algebra. Moreover we develop the representation theory of BiHom-post-Lie algebras on a vector space V. We show that there is naturally an induced representation of its sub-adjacent Lie algebra.