Polynilpotent capability of a pair 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：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷 / 01期

关键词：

pair of Lie algebras; polynilpotent multiplier; capable Lie algebra; C-NILPOTENT MULTIPLIER; SCHUR MULTIPLIER;

D O I：

10.32513/asetmj/193220082310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of capability for pairs of groups was defined by Ellis in 1996. Also, the concept of capability of Lie algebras was introduced by some authors, and is analogous to the group case. In this paper, we generalize the concept of capability of a Lie algebra L to the polynilpotent capability of a pair (N, L) of Lie algebras and introduce a criterion for polynilpotent capability of (N, L).

引用

页码：95 / 103

页数：9

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