On the number of abelian left symmetric algebras

被引：4

作者：

Dekimpe, K ^{[1
]}

Ongenae, V ^{[1
]}

机构：

[1] Katholieke Univ Leuven, B-8500 Kortrijk, Belgium

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 11期

关键词：

left symmetric algebra; simply transitive affine action;

D O I：

10.1090/S0002-9939-00-05484-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that there are infinitely many abelian left symmetric algebras in dimensions greater than or equal to 6. Equivalently this means that there are, up to affine conjugation, infinitely many simply transitive affine actions of R-k, for k greater than or equal to 6. This is a result which is usually credited to A.T. Vasquez, but for which there is no proof in the literature.

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收藏

页码：3191 / 3200

页数：10

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