Lie algebras of derivations with large abelian ideals

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Klymenko, I.S., Lysenko, S.V., Petravchuk, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188481
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lie algebras of derivations with large abelian ideals / I.S. Klymenko, S.V. Lysenko, A. Petravchuk // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 123–129. — Бібліогр.: 7 назв. — англ.

We study subalgebras L of rank m over R of the Lie algebra Wn(K) with an abelian ideal I ⊂ L of the same rank m over R.