A Lie algebra that can be written as a sum of two nilpotent subalgebras is solvable

DOI10.1007/BF01156132zbMath0781.17010arXiv0911.5418OpenAlexW3104681848WikidataQ115394005 ScholiaQ115394005MaRDI QIDQ685628

Pasha Zusmanovich

Publication date: 21 September 1993

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

Full work available at URL: https://arxiv.org/abs/0911.5418

zbMATH Keywords

modular Lie algebrassum of nilpotent subalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (2)

SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS ⋮ Unital decompositions of the matrix algebra of order three

Cites Work

• 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)
• A basis for the space of functions analytic in a disk
• Determination of the differentiably simple rings with a minimal ideal
• On Subalgebras of Simple lie Algebras of Characteristic p > 0
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