Deformations of Jordan algebras of dimension four

被引：18

作者：

Kashuba, Iryna ^{[1
]}

Martin, Maria Eugenia ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

JOURNAL OF ALGEBRA | 2014年 / 399卷

关键词：

Jordan algebra; Deformation of algebras; Rigidity;

D O I：

10.1016/j.jalgebra.2013.09.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the variety jor(4) of four-dimensional Jordan algebras on k(4), for k an algebraically closed field of characteristic not equal 2. We describe its irreducible components and prove that jor(4) is the union of Zariski closures of the orbits of 10 rigid algebras. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：277 / 289

页数：13

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