Some examples of locally finite simple Lie algebras
type: Item
instance of: scholarly article
title: Some examples of locally finite simple Lie algebras
zbMATH Open document ID: 0823.17007
DOI: 10.1007/BF01196574
published in: Archiv der Mathematik
publication date: 1995-08-22T00:00:00Z
review text: Families of locally finite dimensional simple Lie algebras are constructed, which can not be presented as direct limits of finite dimensional simple Lie algebras. This answers a question raised by \textit{R. K. Amayo} and \textit{I. Stewart} [``Infinite dimensional Lie algebras'', Leyden (1974; Zbl 0302.17006)]. For locally finite groups analogous examples exist, however, the proof needs very sophisticated methods. The present construction might give a hint how to find examples in the group case as well.
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 779018
zbMATH Keywords: locally finite dimensional simple Lie algebras
author: Yuri Bahturin
author: Helmut Strade
MaRDI profile type: Publication
cites work: Q4055834
cites work: Universal Locally Finite Central Extensions of Groups
cites work: Q5732712
cites work: Q5583129
full work available at URL: https://doi.org/10.1007/bf01196574
OpenAlex ID: W2162192398
description: scientific article; zbMATH DE number 779018