Hom-Lie代数的模块结构理论

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-09-02 DOI:10.1515/gmj-2024-2048

Dan Mao, Baoling Guan, Liangyun Chen

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引用次数: 0

摘要

本文的目的是将受限性理论应用于 Hom-Lie 对象。受限 Hom-Lie 代数的概念是在 [S. Bouarroudj and A. Makhlouf, Hom-lie superalgebras in characteristic 2, Mathematics 11] 中提出的。Bouarroudj and A. Makhlouf, Hom-lie superalgebras in characteristic 2, Mathematics 11 2023, 24, Paper No.首先研究 Hom-Lie 代数上 p 结构的存在性和唯一性。然后给出了可限制 Hom-Lie 代数的定义，并构造了可限制 Hom-Lie 代数与可限制 Hom-Lie 代数之间的等价关系。最后，定义并研究了 Hom-Lie 代数的 p 包络。

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Modular structure theory on Hom-Lie algebras

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.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.