The algebraic classification of ۷-dimensional nilpotent ۳-Lie algebras

This paper focuses on the classification of ۷-dimensional nilpotent ۳-Lie algebras. We employ a systematic approach by considering the structure of these algebras through the central ideals. Specifically, we divide the ۷-dimensional nilpotent ۳-Lie algebra by a ۱-dimensional central ideal, resulting in a ۶- dimensional nilpotent ۳-Lie algebra. Our findings reveal the relationships between ۷-dimensional structures and their ۶-dimensional counterparts, contributing to a deeper understanding of the properties and classifications of nilpotent ۳-Lie algebras.

کلیدواژه ها:

Nilpotent n-Lie algebra ، Algebraic classification ، Low dimensions