Volume 28, Issue 1
On Some Varieties of Soluble Lie Algebras

Jizhu Nan, Chengcheng Wang & Hailing Li

Commun. Math. Res., 28 (2012), pp. 10-16.

Published online: 2021-05

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  • 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 $\{3, · · · , k\}$.

  • Keywords

variety, permutation, nilpotent class.

  • AMS Subject Headings

17B30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-10, author = {Nan , Jizhu and Wang , 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 $\{3, · · · , k\}$.

Jizhu Nan, Chengcheng Wang & Hailing Li. (2021). On Some Varieties of Soluble Lie Algebras. Communications in Mathematical Research . 28 (1). 10-16. doi:
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