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.
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页码：353 / 357
页数：5
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