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Complete LR-structures on solvable Lie algebras

Journal Contribution - Journal Article

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.
Journal: Journal of Group Theory
ISSN: 1433-5883
Issue: 5
Volume: 13
Pages: 703 - 719
Publication year:2010
BOF-keylabel:yes
IOF-keylabel:yes
BOF-publication weight:0.5
CSS-citation score:2
Authors:International
Authors from:Higher Education