Complete LR-structures on solvable Lie algebras

被引：23

作者：

Burde, Dietrich ^{[1
]}

Dekimpe, Karel ^{[2
]}

Vercammen, Kim ^{[2
]}

机构：

[1] Univ Wien, Fak Math, A-1090 Vienna, Austria

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

来源：

JOURNAL OF GROUP THEORY | 2010年 / 13卷 / 05期

关键词：

NOVIKOV STRUCTURES; AFFINE STRUCTURES;

D O I：

10.1515/JGT.2010.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An LR-structure on a Lie algebra g is a bilinear product on g, satisfying certain commutativity relations, and which is compatible with the Lie product. LR-structures arise in the study of simply transitive affine actions on Lie groups. In particular one is interested in the question which Lie algebras admit a complete LR-structure. In this paper we show that a Lie algebra admits a complete LR-structure if and only if it admits any LR-structure.

引用

页码：703 / 719

页数：17

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