The non-abelian tensor and exterior products of crossed modules of Lie superalgebras

被引：0

作者：

Taha, Tahereh Fakhr ^{[1
]}

Ladra, Manuel ^{[2
]}

Paez-Guillan, Pilar ^{[3
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, GC, Tehran, Iran

[2] Univ Santiago de Compostela, Inst Matemat, Dept Matemat, Santiago De Compostela 15782, Spain

[3] Univ Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 09期

关键词：

Lie superalgebra; crossed module; non-abelian tensor product; non-abelian exterior product; homology of crossed modules; semi-abelian category; HOMOLOGY;

D O I：

10.1142/S0219498822501699

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notions of non-abelian tensor and exterior products of two ideal graded crossed submodules of a given crossed module of Lie superalgebras. We also study some of their basic properties and their connection with the second homology of crossed modules of Lie superalgebras.

引用

页数：22

共 37 条

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