On the sum of an almost abelian Lie algebra and a Lie algebra finite-dimensional over its center

• Date: 1999
• Main Authors: Petravchuk, A. P., Петравчук, А. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4650
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a Lie algebraL over an arbitrary field that is decomposable into the sumL=A+B of an almost Abelian subalgebraA and a subalgebraB finite-dimensional over its center. We prove that this algebra is almost solvable, i.e., it contains a solvable ideal of finite codimension. In particular, the...