A non-abelian Hom-Leibniz tensor product and applications

被引：6
|
作者：
Casas, J. M. [1 ]
Khmaladze, E. [2 ,3 ]
Pacheco Rego, N. [4 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 1, Pontevedra, Spain
[2] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, Tbilisi, Georgia
[3] Univ Georgia, Tbilisi, Georgia
[4] IPCA, Dept Ciencias, Campus IPCA, Barcelos, Portugal
来源：
LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 06期
基金：
美国国家科学基金会;
关键词：
Hom-Leibniz algebra; non-abelian tensor product; universal (alpha)-central extension; Hom-associative algebra; Hochschild homology; LIE-ALGEBRAS; DEFORMATIONS;
D O I：
10.1080/03081087.2017.1338651
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of non-abelian Hom-Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal (a-) central extensions of Hom-Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras.
引用
收藏
页码：1133 / 1152
页数：20
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