2023/08/08 by Mao, Dan, Guan, Baoling, Chen, Liangyun
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2311.08406
The aim of this paper is to transfer the restrictedness theory to Hom-Lie algebras. The concept of restricted Hom-Lie algebras which is introduced in \citeBM2 will be used in this paper. First, the existence of p-structures on a Hom-Lie algebra is studied and the direct sum of restricted Hom-Lie algebras is analyzed. Then, the definition of a restrictable Hom-Lie algebra is given and the equivalence relation between restrictable Hom-Lie algebras and restricted Hom-Lie algebras is constructed. Finally, the p-envelopes of a Hom-Lie algebra are defined and studied.