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

共 32 条

[1] Some properties of c-covers of a pair of Lie algebras [J].

Arabyani, Homayoon ;

Safa, Hesam .

QUAESTIONES MATHEMATICAE, 2019, 42 (01) :37-45

[2] Cohomology of Heisenberg Lie superalgebras [J].

Bai, Wei ;

Liu, Wende .

JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (02)

[3] On characterizing nilpotent Lie algebras by their multipliers [J].

Batten, P ;

Moneyhun, K ;

Stitzinger, E .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) :4319-4330

[4]

Berezin F.A., 1970, MATH USSR SB, V11, P311, DOI [10.1070/SM1970v011n03ABEH001137, DOI 10.1070/SM1970V011N03ABEH001137]

[5] ON THE ORDER OF THE COMMUTATOR SUBGROUP AND THE SCHUR MULTIPLIER OF A FINITE P-GROUP [J].

BERKOVICH, YG .

JOURNAL OF ALGEBRA, 1991, 144 (02) :269-272

[6]

Biyogmam GR, 2021, J LIE THEORY, V31, P301

[7] On the Schur multiplier of p-groups [J].

Ellis, G .

COMMUNICATIONS IN ALGEBRA, 1999, 27 (09) :4173-4177

[8] The Schur multiplier of a pair of groups [J].

Ellis, G .

APPLIED CATEGORICAL STRUCTURES, 1998, 6 (03) :355-371

[9] Non-abelian tensor product and homology of Lie superalgebras [J].

Garcia-Martinez, Xabier ;

Khraaladze, Emzar ;

Ladra, Manuel .

JOURNAL OF ALGEBRA, 2015, 440 :464-488

[10] Some problems concerning to nilpotent Lie superalgebras [J].

Gómez, JR ;

Khakimdjanov, Y ;

Navarro, RM .

JOURNAL OF GEOMETRY AND PHYSICS, 2004, 51 (04) :473-486

← 1 2 3 4 →