Affiliation:
1. School of Mathematics and Statistics , Northeast Normal University , Changchun 130024 , P. R. China
2. College of Sciences , Qiqihar University , Qiqihar 161006 , P. R. China
Abstract
Abstract
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 [S. Bouarroudj and A. Makhlouf,
Hom-lie superalgebras in characteristic 2,
Mathematics 11 2023, 24, Paper No. 4955], will be used in this paper. First, the
existence and uniqueness of p-structures on a Hom-Lie algebra is
studied. 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.
Funder
Natural Science Foundation of Jilin Province
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities