[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2022.30.2.363

ON HOM-LIE TRIPLE SYSTEMS AND INVOLUTIONS OF HOM-LIE ALGEBRAS

Yara, Hamdiatou (Department of Mathematics, Thomas Sankara University)
Zoungrana, Patricia L. (Department of Mathematics, Thomas Sankara University)

Publication Information

Korean Journal of Mathematics / v.30, no.2, 2022 , pp. 363-373 More about this Journal

Abstract

In this paper we mainly establish a relationship between involutions of multiplicative Hom-Lie algebras and Hom-Lie triple systems. We show that the -1-eigenspace of any involution on any multiplicative Hom-Lie algebra becomes a Hom-Lie triple system and we construct some examples of Hom-Lie triple systems using some involutions of some classical Hom-Lie algebras.

Keywords

Hom-Lie algebras; Hom-Lie triple systems; Involutions of Hom-Lie algebras;

Citations & Related Records

Reference

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