Lie algebras, decomposable into a sum of an Abelian and a nilpotent subalgebra

DOI10.1007/BF01061314zbMath0794.17005OpenAlexW2318137496MaRDI QIDQ5916357

Anatoliy P. Petravchuk

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01061314

zbMATH Keywords

solvable Lie algebraabelian subalgebranilpotent subalgebraanalog of Kegel-Wielandt theorem.

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

Identities of sum of two PI-algebras in the case of positive characteristic ⋮ Locally conformally Kähler structures on unimodular Lie groups ⋮ Indefinite hyperkähler metrics on Lie groups with abelian complex structures ⋮ Abelian Hermitian geometry ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups

Cites Work

• Zur Nilpotenz gewisser assoziativer Ringe
• A solvability criterion for a finite-dimensional Lie algebra
• Die Summe einer abelschen und einer nilpotenten Lie-Algebra ist auflösbar. (The sum of an abelian and a nilpotent Lie algebra is solvable)
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