2019/07/13 by Abdelkader Ben Hassine, Taoufik Chtioui, Hassine, Abdelkader Ben +5
Mathematics · #17A15 #17D05 #17D10 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1907.06979
openalex publication_date 2019/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this work is to introduce representations of BiHom-left-symmetric algebras. and develop its cohomology theory. As applications, we study linear deformations of BiHom-left-symmetric algebras, which are characterized by its second cohomology group with the coefficients in the adjoint representation. The notion of a Nijenhuis operator on a BiHom-left-symmetric algebra is introduced. We will prove that it can generate trivial linear deformations of a BiHom-left-symmetric algebra.