The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras

	The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras
Journal of Algebra and Related Topics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 تیر 1404
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2025.28277.1703
نویسنده
H. Darabi^*
Department of Mathematics, Esfarayen University of Technology, Esfarayen, Iran
چکیده
This paper focuses on the classification of $7$-dimensional nilpotent $3$-Lie algebras. We employ a systematic approach by considering the structure of these algebras through the central ideals. Specifically, we divide the $7$-dimensional nilpotent $3$-Lie algebra by a $1$-dimensional central ideal, resulting in a $6$- dimensional nilpotent $3$-Lie algebra. Our findings reveal the relationships between $7$-dimensional structures and their $6$-dimensional counterparts, contributing to a deeper understanding of the properties and classifications of nilpotent $3$-Lie algebras.
کلیدواژه‌ها
Nilpotent $n$-Lie algebra؛ Algebraic classification؛ Low dimensions

آمار تعداد مشاهده مقاله: 7

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