On the dimension of the Schur multiplier of nilpotent lie algebras

被引：6

作者：

Rai, Pradeep K. ^{[1
]}

机构：

[1] IIT Patna, Dept Math, Patna, Bihar, India

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 10期

关键词：

Schur multiplier; nilpotent Lie algebra; COVERS;

D O I：

10.1080/00927872.2019.1572177

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 Lie algebra which sharpens the earlier known bounds.

引用

页码：3982 / 3986

页数：5

共 50 条

[1] On dimension of the Schur multiplier of nilpotent Lie algebras
Niroomand, Peyman
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (01): : 57 - 64
[2] Nilpotent lie algebras having the Schur multiplier of maximum dimension
Niroomand, Peyman
Shamsaki, Afsaneh
[J]. QUAESTIONES MATHEMATICAE, 2020, 43 (09) : 1239 - 1246
[3] BOUNDS FOR THE DIMENSION OF THE SCHUR MULTIPLIER OF A PAIR OF NILPOTENT LIE ALGEBRAS
Salemkar, Ali Reza
Niri, Somaieh Alizadeh
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (04)
[4] Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras
Johari, Farangis
[J]. JOURNAL OF ALGEBRA, 2024, 643 : 175 - 202
[5] Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras
Rismanchian, Mohammad Reza
Araskhan, Mehdi
[J]. JOURNAL OF ALGEBRA, 2012, 352 (01) : 173 - 179
[6] A RESTRICTION ON THE SCHUR MULTIPLIER OF NILPOTENT LIE ALGEBRAS
Niroomand, Peyman
Russo, Francesco G.
[J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 1 - 9
[7] A remark on the Schur multiplier of nilpotent Lie algebras
Riyahi, Zahra
Salemkar, Ali Reza
[J]. JOURNAL OF ALGEBRA, 2015, 438 : 1 - 6
[8] Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras
Edalatzadeh, Behrouz
[J]. TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (05) : 1020 - 1024
[9] On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras
Biyogmam, Guy R.
[J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (03) : 1091 - 1098
[10] The Commutator Subalgebra and Schur Multiplier of a Pair of Nilpotent Lie Algebras
Saeedi, Farshid
Salemkar, Ali Reza
Edalatzadeh, Behrouz
[J]. JOURNAL OF LIE THEORY, 2011, 21 (02) : 491 - 498

← 1 2 3 4 5 →