$\delta$-derivations of classical Lie superalgebras

Abstract

We consider the $\delta$-derivations of classical Lie superalgebras and prove that these superalgebras admit nonzero $\delta$-derivations only when $\delta =0,1/2,1$. The structure of $1/2$-derivations for classical Lie superalgebras is completely determined.

17 p

References in corpus (1)

• $\delta$-derivations of simple Jordan algebras and superalgebras

Cited by in corpus (8)

• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• Generalized derivations of (color) n-ary algebras
• Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras
• Conservative algebras of 2-dimensional algebras
• δ-derivations of n-ary algebras
• δ-derivations of semisimple structurable algebras
• $n$-Ary generalized Lie-type color algebras admitting a quasi-multiplicative basis
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras