Dimension of the c-nilpotent multiplier of Lie algebras

被引：2

作者：

Araskhan, Mehdi ^{[1
]}

Rismanchian, Mohammad Reza ^{[2
]}

机构：

[1] Islamic Azad Univ, Yazd Branch, Dept Math, Yazd, Iran

[2] Shahrekord Univ, Dept Pure Math, Shahrekord, Iran

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2016年 / 126卷 / 03期

关键词：

c-Nilpotent multiplier; nilpotent Lie algebra; tensor product; INEQUALITIES;

D O I：

10.1007/s12044-016-0288-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of finite dimensional Lie algebras and their factor Lie algebras. We further obtain an inequality between dimensions of c-nilpotent multiplier of Lie algebra L and tensor product of a central ideal by its abelianized factor Lie algebra.

引用

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页码：353 / 357

页数：5

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