Quasi-derivations of Lie–Yamaguti algebras.

The concepts of derivation and centroid for Lie–Yamaguti algebras are generalized in this paper. A quasi-derivation of a LY-algebra can be embedded as a derivation in a larger LY-algebra. The relationship between quasi-derivations and robustness of Lie–Yamaguti algebras has been studied. [ABSTRACT FROM AUTHOR]