δ-derivations of n-ary algebras

Abstract

We defined δ-derivations of n-ary algebras. We described δ-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraically closed field zero characteristic, and simple ternary Malcev algebra M_8. We constructed new examples of non-trivial δ-derivations of Filippov algebras and new examples of non-trivial antiderivations of simple Filippov algebras.

12 pages

References in corpus (5)

• On the Lie-algebraic origin of metric 3-algebras
• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• $\delta$-derivations of simple Jordan algebras and superalgebras
• $\delta$-derivations of classical Lie superalgebras
• $\delta$-superderivations of semisimple Jordan superalgebras

Cited by in corpus (5)

• Generalized derivations of (color) n-ary algebras
• Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras
• Some constructions of multiplicative $n$-ary Hom-Nambu algebras
• δ-derivations of semisimple structurable algebras
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras