What question did this study set out to answer?

This research aims to investigate the capability of nilpotent n-Lie algebras based on their dimensions and characteristics.

June 14, 2026Open Access

Capability of Low-Dimensional Nilpotent 3-Lie Algebras

Key Points

This research aims to investigate the capability of nilpotent n-Lie algebras based on their dimensions and characteristics.
Characterization of nilpotent n-Lie algebras of dimension at most n + 3 over arbitrary fields.
Analysis of 7-dimensional nilpotent 3-Lie algebras over fields with characteristic not equal to 2.
Characterized capability for nilpotent n-Lie algebras when n > 2 particularly regarding dimension constraints.
Specifically examined properties of 7-dimensional nilpotent 3-Lie algebras and their dependence on field characteristics.

Abstract

In this paper, we characterize the capability of nilpotent n- Lie algebras of dimensionat most n + 3 over an arbitrary field when n > 2 and the capability of 7 -dimensional nilpotent 3 -Lie algebras over field K with char K\ ne 2.

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Cite This Study

Hamid Darabi (Wed,) studied this question.

synapsesocial.com/papers/6a2e47cdb1cc60ccdea8c42c https://doi.org/https://doi.org/10.22044/jas.2024.13818.1773

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