Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras

被引：0

作者：

Molavi, Mousa ^{[1
]}

Rismanchian, Mohammad Reza ^{[1
]}

Araskhan, Mehdi ^{[2
]}

机构：

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

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

来源：

JOURNAL OF LIE THEORY | 2019年 / 29卷 / 04期

关键词：

Nilpotent Lie algebras; pair of Lie algebras; c-nilpotent multiplier; C-NILPOTENT MULTIPLIER; SCHUR MULTIPLIER; INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the concept of higher Schur multiplier of a pair of Lie algebras and discuss relevant exact sequences. We will also derive some inequalities between the dimensions of higher Schur multipliers and pairs of their special factor in case of nilpotent Lie algebras. Furthermore, we show new upper bounds for the dimensions.

引用

页码：998 / 1006

页数：9

共 18 条

[1] On characterizing nilpotent Lie algebras by their multipliers [J].