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.
Darabi, H. (2025). The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2025.28277.1703
MLA
Darabi, H. . "The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras", Journal of Algebra and Related Topics, , , 2025, -. doi: 10.22124/jart.2025.28277.1703
HARVARD
Darabi, H. (2025). 'The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2025.28277.1703
CHICAGO
H. Darabi, "The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras," Journal of Algebra and Related Topics, (2025): -, doi: 10.22124/jart.2025.28277.1703
VANCOUVER
Darabi, H. The algebraic classification of $7$-dimensional nilpotent $3$-Lie algebras. Journal of Algebra and Related Topics, 2025; (): -. doi: 10.22124/jart.2025.28277.1703
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