Characteristically nilpotent Lie algebras and symplectic structures

DOI10.1515/FORUM.2006.038zbMath1206.17009arXivmath/0409251MaRDI QIDQ3425512

Dietrich Burde

Publication date: 26 February 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409251

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Solvable, nilpotent (super)algebras (17B30)

Related Items (7)

Methods for parametrizing varieties of Lie algebras ⋮ Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras ⋮ Symplectic Lie algebras with degenerate center ⋮ Quasi-reductive Lie algebras ⋮ On Kirillov's lemma for nilpotent Lie algebras ⋮ Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits ⋮ Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups

Cites Work

• Frobenius Lie algebras
• Kähler Lie algebras and double extension
• On fundamental groups of complete affinely flat manifolds
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Low-dimensional filiform Lie algebras
• Rational solutions of the classical Yang-Baxter equation and quasi-Frobenius Lie algebras
• QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES
• Derivations of Nilpotent Lie Algebras
• On frobenius lie algebras
• AFFINE STRUCTURES ON NILMANIFOLDS
• Symplectic structures on the filiform Lie algebras

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