Cohomology and deformations of twisted O-operators on 3-Lie algebras

Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk, Abdenacer Makhlouf


The purpose of this paper is to introduce and study twisted O-operators on 3-Lie algebras. We construct an L_∞-algebra whose Maurer-Cartan elements are twisted O-operators and define a cohomology of a twisted O-operator T as the Chevalley-Eilenberg cohomology of a certain 3-Lie algebra induced by T with coefficients in a suitable representation. Then we consider infinitesimal and formal deformations of twisted O-operators.


  • There are currently no refbacks.