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.
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页数：22
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