Dimension of the $c$-nilpotent multiplier of Lie algebras

Proceedings Mathematical Sciences

MOHAMMAD REZA RISMANCHIAN¹  MEHDI ARASKHAN² 

[1] Department of Pure Mathematics, Shahrekord University, Shahrekord, Iran$$;Department of Mathematics, Yazd Branch, Islamic Azad University, Yazd, Iran$$

关键词: $c$-Nilpotent multiplier;    nilpotent Lie algebra;    tensor product;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 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

【 授权许可】

Unknown