On Some Varieties of Soluble Lie Algebras
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@Article{CMR-28-10,
author = {Nan , JizhuWang , Chengcheng and Li , Hailing},
title = {On Some Varieties of Soluble Lie Algebras},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {28},
number = {1},
pages = {10--16},
abstract = {
In this paper, we study a class of soluble Lie algebras with variety relations that the commutator of $m$ and $n$ is zero. The aim of the paper is to consider the relationship between the Lie algebra $L$ with the variety relations and the Lie algebra $L$ which satisfies the permutation variety relations for the permutation $φ$ of $\{3, · · · , k\}$.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19065.html} }
TY - JOUR
T1 - On Some Varieties of Soluble Lie Algebras
AU - Nan , Jizhu
AU - Wang , Chengcheng
AU - Li , Hailing
JO - Communications in Mathematical Research
VL - 1
SP - 10
EP - 16
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19065.html
KW - variety, permutation, nilpotent class.
AB -
In this paper, we study a class of soluble Lie algebras with variety relations that the commutator of $m$ and $n$ is zero. The aim of the paper is to consider the relationship between the Lie algebra $L$ with the variety relations and the Lie algebra $L$ which satisfies the permutation variety relations for the permutation $φ$ of $\{3, · · · , k\}$.
Nan , JizhuWang , Chengcheng and Li , Hailing. (2021). On Some Varieties of Soluble Lie Algebras.
Communications in Mathematical Research . 28 (1).
10-16.
doi:
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