On strongly inert subalgebras of an infinite-dimensional Lie algebra

被引：0

作者：

Petravchuk A.P. ^{[1
]}

机构：

[1] Kiev University, Kiev

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 7期

关键词：

Arbitrary Field; Local Finiteness;

D O I：

10.1023/A:1022043215520

中图分类号：

学科分类号：

摘要：

We study infinite-dimensional Lie algebras L over an arbitrary field that contain a subalgebra A such that dim (A + [A, L])/A < ∞. We prove that if an algebra L is locally finite, then the subalgebra A is contained in a certain ideal I of the Lie algebra L such that dimI/A < ∞. We show that the condition of local finiteness of L is essential in this statement. © 2002 Plenum Publishing Corporation.

引用

页码：1234 / 1238

页数：4