On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras

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.

Bibliographic Details
Main Authors: Patricia L. Zoungrana, A. Nourou Issa
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2017/7842482
Description
Summary: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.
ISSN:0161-1712
1687-0425