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arXiv · 2311.08406

Modular structure theory on Hom-Lie algebras

Dan Mao·Baoling Guan·Liangyun Chen
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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 \cite{BM2} 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.

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Dan Mao, Baoling Guan, Liangyun Chen. 2023-11-30. Modular structure theory on Hom-Lie algebras. https://arxiv.org/abs/2311.08406

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