Low dimensional nilpotent n-Lie algebras
Mehdi Eshrati, Farshid Saeedi, Hamid Darabi
TL;DR
This paper classifies low-dimensional nilpotent n-Lie algebras of specific dimensions and classes, expanding the understanding of their structure in algebraic theory.
Contribution
It provides a complete classification of nilpotent n-Lie algebras of dimension n+3 and of class 2 with dimension n+4, which was previously unexplored.
Findings
Classification of nilpotent n-Lie algebras of dimension n+3
Classification of nilpotent n-Lie algebras of class 2, dimension n+4
New structural insights into low-dimensional n-Lie algebras
Abstract
In this paper, nilpotent n-Lie algebras of dimension n + 3 as well as nilpotent n-Lie algebras of class 2 and dimension n + 4 are classified.
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Taxonomy
TopicsAdvanced Topics in Algebra · Finite Group Theory Research