International Journal of Mathematics and Mathematical Sciences (Jan 2017)
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras
Abstract
The notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras.
