Basic Commutators in n-Lie Algebras
Rings and Algebras
2024-10-29 v2
Abstract
In this paper, we give the structure of free n-Lie algebras. Next, we introduce basic commutators in n-Lie algebras and generalize the Witt formula to calculate the number of the basic commutators. Also, we prove that the set of all of the basic commutators of weight w and length n+(w-2)(n-1) is a basis for Fw, where Fw is the wth term of the lower central series in the free n-Lie algebra F.
Keywords
Cite
@article{arxiv.2301.12427,
title = {Basic Commutators in n-Lie Algebras},
author = {Farshid Saeedi and Seyedeh Nafiseh Akbarossadat},
journal= {arXiv preprint arXiv:2301.12427},
year = {2024}
}