SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS

DOI10.1081/AGB-120013332zbMath1026.17011OpenAlexW2003391280MaRDI QIDQ4792645

M. V. Tvalavadze, T. V. Tvalavadze, Yu. A. Bakhturin

Publication date: 9 March 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120013332

zbMATH Keywords

locally finite simple Lie algebrassum of isomorphic simple algebrassum of nilpotent Lie algebrassum of proper simple subalgebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Semisimple decompositions of Lie algebras and prehomogeneous modules ⋮ Supplements to Maximal Subalgebras of Lie Algebras

Cites Work

• A Lie algebra that can be written as a sum of two nilpotent subalgebras is solvable
• Sums of simple subalgebras
• Some examples of locally finite simple Lie algebras
• On The Derived Length of Finite Dinilpotent Groups
• DECOMPOSITIONS OF REDUCTIVE LIE GROUPS
• On the solubility of Lie algebras of positive characteristic

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