CONTRACTIONS OF LOW-DIMENSIONAL NILPOTENT JORDAN ALGEBRAS

被引：18

作者：

Ancochea Bermudez, J. M. ^{[1
]}

Fresan, J.

Margalef Bentabol, J.

机构：

[1] Univ Complutense Madrid, Fac CC Matemat, Dept Geometria & Topol, E-28040 Madrid, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 03期

关键词：

Contraction; Jordan algebras; Nilpotent; Rigidity;

D O I：

10.1080/00927871003649393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we classify the laws of three-dimensional and four-dimensional nilpotent Jordan algebras over the field of complex numbers. We describe the irreducible components of their algebraic varieties and extend contractions and deformations among their isomorphism classes. In particular, we prove that j(2) and j(3) are irreducible and that j(4) is the union of the Zariski closures of the orbits of two rigid Jordan algebras.

引用

页码：1139 / 1151

页数：13

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