The goal of this paper is to study cohomological theory n-Lie algebras with derivations. We define the representation an n-LieDer pair and consider its cohomology. Likewise, we verify that a cohomology could be derived from associated LeibDer pair. Furthermore, discuss (n−1)-order deformations Nijenhuis operator pairs. central extensions pairs are also investigated in terms first groups coeffic...

This paper analyzes the action δ of a Lie algebra X by derivations on a C*–algebra A. This action satisfies an “almost inner” property which ensures affiliation of the generators of the derivations δ with A, and is expressed in terms of corresponding pseudo–resolvents. In particular, for an abelian Lie algebra X acting on a primitive C*–algebra A, it is shown that there is a central extension o...