Current Hom-Lie algebras.

Autor: BEN JMAA, TORKIA, MAKHLOUF, ABDENACER, SAADAOUI, NEJIB
Předmět:
Zdroj: Acta et Commentationes Universitatis Tartuensis de Mathematica; Jun2022, Vol. 26 Issue 1, p103-127, 25p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index