Finite-Dimensional Nilpotent Lie Algebras with Central Derivations of Nonminimal Dimensions

被引：0
作者：
Seyed Mahdi Moosavinejad
Farshid Saeedi
机构：
[1] Islamic Azad University,Department of Mathematics, Mashhad Branch
来源：
Vietnam Journal of Mathematics | 2024年 / 52卷
关键词：
Central derivation; Inner derivation; Nilpotent Lie algebras; Primary 17B30; Secondary 17B40;
D O I：
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学科分类号：
摘要：
Let L be a finite-dimensional nilpotent Lie algebra and let Derz(L) and C∗(L) denote the set of all central derivations and central derivations map the center of L to zero, respectively. In this paper, we characterize all nilpotent Lie algebras of dimension n(n ≤ 8) that Derz(L) does not have the minimal possible dimension but C∗(L) has the minimal possible dimension.
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页码：211 / 217
页数：6
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