Modular structure theory on Hom-Lie algebras

التفاصيل البيبلوغرافية
العنوان: Modular structure theory on Hom-Lie algebras
المؤلفون: Mao, Dan, Guan, Baoling, Chen, Liangyun
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Rings and Algebras
الوصف: 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.
Comment: 17pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.08406
رقم الأكسشن: edsarx.2311.08406
قاعدة البيانات: arXiv