On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 English Publisher:WileyJournal:International Journal of Mathematics and Mathematical Sciences, volume 2,017, pages 1-9 (issn: 0161-1712, eissn: 1687-0425,

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Authors: Patricia L. Zoungrana; A. Nourou Issa;

doi: 10.1155/2017/7842482

On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras

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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 alsoZ2-graded generalizations of the ones in Lie-Yamaguti algebras.

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Keywords

Superalgebras, Ternary compositions, QA1-939, Mathematics, Structure theory for nonassociative algebras

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