On Lie algebras all nilpotent subalgebras of which are Abelian

DOI10.1063/1.532955zbMath0966.17003OpenAlexW2013326621MaRDI QIDQ4270411

Elke Dallmer

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532955

zbMATH Keywords

Heisenberg algebra \(H(3)\)Kirillov's theoremnonvanishing center \(Z(L)\neq\{0\}\)

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items

Elementary Lie algebras and Lie \(A\)-algebras, Leibniz \(A\)-algebras, Solvable Lie \(A\)-algebras, Antinilpotent Lie algebras

Cites Work

• Solvable Lie algebras of dimension six
• Constant potential solutions of the Yang–Mills equation
• Harmonic Differential Operators