New bounds on the dimension of the Schur multiplier of n-Lie algebras

被引：0

作者：

Gholami, Nahid ^{[1
]}

Saeedi, Farshid ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad 9187147578, Razavi Khorasan, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 01期

关键词：

Nilpotent n-Lie algebra; Schur multiplier; Capable n-Lie algebra; maximal class;

D O I：

10.1080/00927872.2022.2086987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a bound on the dimension of the Schur multiplier of a finite-dimensional nilpotent n-Lie algebra, which sharpens the earlier bounds on the dimension of Schur multiplier of such n-Lie algebras. Then we give the structure of all nilpotent n-Lie algebras that attain this bound. Also, we obtain a new bound on the dimension of the Schur multiplier of a d-dimensional c-step nilpotent n-Lie algebra with the derived subalgebra of dimension d - n, which sharpens the earlier known bounds.

引用

页码：1 / 19

页数：19

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