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.
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页码：703 / 719
页数：17
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