Structure and classification of Hom-associative algebras

被引：2

作者：

Makhlouf, Abdenacer ^{[1
]}

Zahari, Ahmed ^{[1
]}

机构：

[1] Univ Haute Alsace, IRIMAS, Dept Math, 6 Rue Freres Lumiere, F-68200 Mulhouse, France

来源：

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2020年 / 24卷 / 01期

关键词：

Hom-associative algebra; simple Hom-associative algebra; classification; cohomology; irreducible component; LIE-ALGEBRAS; DEFORMATIONS;

D O I：

10.12697/ACUTM.2020.24.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to study the structure and the algebraic varieties of Hom-associative algebras. We characterize multiplicative simple Hom-associative algebras and give some examples deforming the 2 x 2-matrix algebra to simple Hom-associative algebras. We provide a classification of n-dimensional Hom-associative algebras for n <= 3. Then we study irreducible components using deformation theory.

引用

页码：79 / 102

页数：24

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