Complete LR-structures on solvable Lie algebras

DOI10.1515/JGT.2010.018zbMath1251.17004arXiv0906.1151MaRDI QIDQ3060805

Dietrich Burde, Kim Vercammen, Karel Dekimpe

Publication date: 10 December 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1151

zbMATH Keywords

solvable Lie algebrascomplete LR-structureLR-structure

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items (13)

The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ Commutative post-Lie algebra structures on Lie algebras ⋮ Formality and hard Lefschetz property of aspherical manifolds ⋮ A Zassenhaus conjecture and CPA-structures on simple modular Lie algebras ⋮ Invariant theory of free bicommutative algebras ⋮ Affine actions on Lie groups and post-Lie algebra structures ⋮ Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Post-Lie algebra structures for nilpotent Lie algebras ⋮ Post-Lie algebra structures on pairs of Lie algebras ⋮ Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras ⋮ Commutative post-Lie algebra structures on Kac–Moody algebras ⋮ Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras

Cites Work

• Novikov algebras and Novikov structures on Lie algebras
• Affine manifolds with nilpotent holonomy
• Three-dimensional affine crystallographic groups
• The structure of complete left-symmetric algebras
• On fundamental groups of complete affinely flat manifolds
• Any virtually polycyclic group admits a NIL-affine crystallographic action.
• Modules for certain Lie algebras of maximal class
• Novikov structures on solvable Lie algebras
• Affine actions on nilpotent Lie groups
• AFFINE STRUCTURES ON NILMANIFOLDS

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