Enveloping algebras and generalized Chevalley groups
type: Item
instance of: scholarly article
title: Enveloping algebras and generalized Chevalley groups
zbMATH Open document ID: 1447.17011
published in: Innovations in Incidence Geometry
publication date: 2019-01-24T00:00:00Z
review text: With an eye on the construction of Kac-Moody groups, the author discusses the question how one can associate a group with a given Lie algebra \(L\). His construction takes place inside the universal enveloping algebra \(U(L)\). The case that \(L\) is a complex semi-simple Lie algebra is discussed in some detail. The results of this paper were incorporated in [J. Algebra 105, 542--573 (1987; Zbl 0626.22013)].
reviewed by: Norbert Knarr
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 22E10
zbMATH DE Number: 7006233
zbMATH Keywords: Lie algebra
zbMATH Keywords: universal enveloping algebra
zbMATH Keywords: root system
MaRDI profile type: Publication
full work available at URL: iig.2018.16.259
OpenAlex ID: W2912638581
DOI: 10.2140/IIG.2018.16.259
author: Jacques Tits
description: scientific article; zbMATH DE number 7006233