Contact and Frobeniusian forms on Lie groups

DOI10.1016/j.difgeo.2014.05.008zbMath1385.17004arXiv1312.1721OpenAlexW2085915373WikidataQ115356221 ScholiaQ115356221MaRDI QIDQ2252607

Elisabeth Remm, Michel Goze

Publication date: 18 July 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1721

zbMATH Keywords

Lie algebrascontact formsCartan classFrobeniusian Lie algebras

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Structure theory for Lie algebras and superalgebras (17B05) Contact manifolds (general theory) (53D10) Solvable, nilpotent (super)algebras (17B30)

Related Items (18)

The evolution of the spectrum of a Frobenius Lie algebra under deformation ⋮ Coadjoint orbits of Lie algebras and Cartan class ⋮ Geometric structures on Lie algebras and double extensions ⋮ Unnamed Item ⋮ Left-symmetric algebra structures on contact Lie algebras ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ On toral posets and contact Lie algebras ⋮ Contact nilpotent Lie algebras ⋮ 5-dimensional indecomposable contact Lie algebras as double extensions ⋮ The index of nilpotent Lie poset algebras ⋮ Characterization of contact Lie superalgebras ⋮ Contact and Frobenius solvable Lie algebras with abelian nilradical ⋮ Invariants of contact Lie algebras ⋮ Five-dimensional paracontact Lie algebras ⋮ Principal derivations and codimension one ideals in contact and Frobenius Lie algebras ⋮ Contact seaweeds ⋮ Deformation theory of contact Lie algebras as double extensions ⋮ Semi-invariants of low-dimensional Lie algebras

Cites Work

• On contact manifolds
• The principal element of a Frobenius Lie algebra
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• Left invariant contact structures on Lie groups
• Contact manifolds in Riemannian geometry
• Sur la géométrie des structures de contact invariantes
• Symplectic or contact structures on Lie groups
• Symplectic double extension of a symplectic Lie group
• On the deformation of rings and algebras
• Group Gradings on Filiform Lie Algebras
• On properties of principal elements of Frobenius Lie algebras
• Strongly homotopy lie algebras
• k-step nilpotent Lie algebras
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