(n+1)-Ary derivations os semisimple Filippov algebras

Abstract

We defined (n+1)-ary derivations of $n$-ary algebras. We described (n+1)-derivations of simple and semisimple finite-dimensional Filippov algebras over algebraically closed field zero characteristic. We constructed new examples of non-trivial (n+1)-ary derivations of Filippov algebras.

References in corpus (5)

• n-ary algebras: a review with applications
• On (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions
• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• $\delta$-derivations of simple Jordan algebras and superalgebras
• δ-derivations of semisimple structurable algebras

Cited by in corpus (6)

• Generalized derivations of (color) n-ary algebras
• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras
• Some constructions of multiplicative $n$-ary Hom-Nambu algebras
• Conservative algebras of $2$-dimensional algebras, II
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras