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International Journal of Mathematics and Mathematical Sciences
Volume 2017 (2017), Article ID 7842482, 9 pages
Research Article

On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras

1Département de Mathématiques de la Décision, Université Ouaga 2, 12 BP 412, Ouagadougou 12, Burkina Faso
2Département de Mathématiques, Université d’Abomey-Calavi, 01 BP 4521, Cotonou, Benin

Correspondence should be addressed to Patricia L. Zoungrana

Received 15 October 2016; Accepted 20 December 2016; Published 12 January 2017

Academic Editor: Hernando Quevedo

Copyright © 2017 Patricia L. Zoungrana and A. Nourou Issa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 -graded generalizations of the ones in Lie-Yamaguti algebras.