The schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension

被引：3

作者：

Johari, Farangis ^{[1
]}

Niroomand, Peyman ^{[2
]}

Shamsaki, Afsaneh ^{[2
]}

机构：

[1] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Ave Antonio Carlos 6627, Belo Horizonte, MG, Brazil

[2] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 06期

关键词：

Schur multiplier; nilpotent Lie algebra; COVERS;

D O I：

10.2989/16073606.2020.1752323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new bound for the dimension of the Schur multiplier of an n-dimensional nilpotent Lie algebra of class c with the derived subalgebra of dimension n - 2. This new bound sharpens the earlier upper bounds on the dimension of Schur multiplier of such Lie algebras, especially for Lie algebras of maximal class.

引用

页码：849 / 856

页数：8

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