On Some Varieties of Soluble Lie Algebras

On Some Varieties of Soluble Lie Algebras

Year:    2012

Author:    Jizhu Nan, Chengcheng Wang, Hailing Li

Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 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 $\{3, · · · , k\}$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-CMR-19065

Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 10–16

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    variety permutation nilpotent class.

Author Details

Jizhu Nan

Chengcheng Wang

Hailing Li