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arXiv · 0906.1151

Complete LR-structures on solvable Lie algebras

Dietrich Burde·Karel Dekimpe·Kim Vercammen
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Abstract

An LR-structure on a Lie algebra is a bilinear product, 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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Dietrich Burde, Karel Dekimpe, Kim Vercammen. 2009-06-05. Complete LR-structures on solvable Lie algebras. https://arxiv.org/abs/0906.1151

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