Anja Arfa, Nizar Ben Fraj, Abdenacer Makhlouf: Cohomology and deformations of $n$-Hom-Lie algebra morphisms, 105-119

Abstract:

The main purpose of this paper is to define a cohomology complex of $n$-Hom-Lie algebra morphisms and consider their deformation theory. In particular, we discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we study $(n+1)$-Hom-Lie algebra morphisms induced by $n$-Hom-Lie algebra morphisms and provide examples.

Key Words: $n$-Hom-Lie algebra, $n$-Hom-Lie algebra morphism, cohomology, deformation.

2020 Mathematics Subject Classification: Primary 17A40, 17A42, 17B56, 17B61, 17D30.

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