CENTRAL INVARIANTS OF GENERALZED HOM-LIE ALGEBRAS

Let $L$ be a generalized Hom-Lie algebra, $V$ a $H$ -Hom-Lie ideal of $[L,L]$ . In this paper, we mainly discuss the central invariant of $L$ . Using the method of Hopf algebras, we obtain that $H$ -invariant of $V$ is contained in $H$ -invariant of the center of $L$ . It generalizes the main results by Cohen and Westreich (1994).