Modular structure theory on Hom-Lie algebras
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.
Authors
- Baoling Guan (ORCID: https://orcid.org/0000-0002-2917-5870)
- Liangyun Chen (ORCID: https://orcid.org/0000-0002-2941-1087)
- Dan Mao (ORCID: https://orcid.org/0000-0002-6751-2188)
Institutions
- Qiqihar University (CN)
- Northeast Normal University (CN)
Publication Details
- Journal
- Georgian Mathematical Journal
- Published
- 2024-09-02
- DOI
- https://doi.org/10.1515/gmj-2024-2048
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Science Foundation of Jilin Province
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities