Filiform left-symmetric algebras

被引：13

作者：

Dekimpe, K ^{[1
]}

Ongenae, V ^{[1
]}

机构：

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

来源：

GEOMETRIAE DEDICATA | 1999年 / 74卷 / 02期

关键词：

Lie algebras; filiform LSA structures;

D O I：

10.1023/A:1005004223336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A left-symmetric algebra is said to be filiform if both natural descending series induced by the product tend to zero, but as slow as possible. This is the analogue of the more common notion for Lie algebras. In this paper, we develop some theoretical aspects of this class of left-symmetric algebras and we also present a classification of them up till dimension 5.

引用

页码：165 / 199

页数：35

共 10 条

[1]

BENOIST Y, 1995, J DIFFER GEOM, V41, P21

[2] MODULES FOR CERTAIN LIE-ALGEBRAS OF MAXIMAL CLASS [J].