Cohomologies and generalized derivations of n-Lie algebras

A cohomology theory associated to an n-Lie algebra and a represen-tation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.

Automated summary

This article introduces a cohomology theory associated with an n-Lie algebra and its representation space. It is demonstrated that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles and inner generalized derivations as 1-coboundaries.