On multipliers of pairs of Lie superalgebras

被引：4

作者：

Safa, Hesam ^{[1
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 12期

关键词：

Nilpotent Lie superalgebra; pair of Lie superalgebras; Schur multiplier; C-NILPOTENT MULTIPLIER; SCHUR MULTIPLIER; ALGEBRAS; COVERS; CLASSIFICATION; HOMOLOGY; ORDER;

D O I：

10.2989/16073606.2021.1978010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the notion of the Schur multiplier of a pair (N, L) of Lie superalgebras and obtain some upper bounds concerning dimensions. Moreover, we characterize the pairs of finite dimensional (nilpotent) Lie superalgebras for which dim M(N, L) = 1/2 (m + n)(2) + (n - m) + (m + n) dim(L/N) - t; for t = 0; 1, where dim N = (m|n).

引用

页码：1909 / 1920

页数：12

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