Torsion automorphisms of simple Lie algebras
type: Item
instance of: scholarly article
title: Torsion automorphisms of simple Lie algebras
zbMATH Open document ID: 1223.17020
DOI: 10.4171/LEM/56-1-1
author: Mark Reeder
published in: L'Enseignement Mathématique. 2e Série
publication date: 2010-09-20T00:00:00Z
review text: Let \({\mathfrak g}\) be a simple finite-dimensional complex Lie algebra. An automorphism \(\sigma\) of \({\mathfrak g}\) is called torsion if it has finite order in the group of automorphisms of \({\mathfrak g}\). The classification of such automorphisms is due to [\textit{V. G. Kac}, Infinite-dimensional Lie algebras. Cambridge etc.: Cambridge University Press (1990; Zbl 0716.17022)]. In this paper the author obtains Kac's classification directly from the geometry of the affine Weyl group, without using infinite-dimensional Lie algebras.
reviewed by: Salvatore Siciliano
Mathematics Subject Classification ID: 17B40
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 5788662
zbMATH Keywords: torsion automorphism
zbMATH Keywords: simple finite-dimensional complex Lie algebra
zbMATH Keywords: Weyl group
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5788662