LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS

DOI10.1081/AGB-120004482zbMath1032.17031arXivmath/0409276MaRDI QIDQ3146309

Dietrich Burde

Publication date: 15 June 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409276

zbMATH Keywords

filiform Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations ⋮ A characterization of nilpotent Leibniz algebras ⋮ On generalized Jordan prederivations and generalized prederivations of Lie superalgebras ⋮ Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras ⋮ Periodic derivations and prederivations of Lie algebras ⋮ A Characterisation of Nilpotent Lie Algebras by Invertible Leibniz-Derivations ⋮ APPROXIMATE 3-LIE HOMOMORPHISMS ON LIE ALGEBRA SYSTEMS ⋮ On the equality of triple derivations and derivations of lie algebras

Cites Work

• Low-dimensional filiform Lie algebras
• Lie algebras admitting non-singular prederivations
• Generalized derivations of Lie algebras
• Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups
• Nilpotent ideals in Lie and anti-Lie triple systems
• Characteristically nilpotent Lie algebras

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