On the Capability and Tensor Center of Lie Algebras

被引：0

作者：

Arabyani, Homayoon ^{[1
]}

机构：

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

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2019年 / 43卷 / 05期

关键词：

Capable Lie algebra; Tensor product; Tensor center; SCHUR MULTIPLIER; PAIR; PRODUCTS; COVERS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Lie algebra L is called capable, if there exists a Lie algebra E such that L congruent to E/Z(E). The concept of capability for Lie algebras was introduced by Salemkar et al. In this paper, the capability of the pair (L-2, L) is determined, where L-2 is the derived subalgebra of L. Moreover, we obtain some properties of the tensor center of a pair of Lie algebras.

引用

页码：631 / 637

页数：7

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