Author:
Ben Jmaa Torkia,Makhlouf Abdenacer,Saadaoui Nejib
Abstract
In this paper, we study Hom-Lie structures on tensor products. In particular, we consider current Hom-Lie algebras and discuss their representations. We determine faithful representations of minimal dimension of current Heisenberg Hom-Lie algebras. Moreover derivations, including generalized derivations, and centroids are studied. Furthermore, cohomology and extensions of current Hom-Lie algebras are also considered.
Cited by
1 articles.
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1. Modular structure theory on Hom-Lie algebras;Georgian Mathematical Journal;2024-09-03