Classification of almost compact real forms of affine Kac-Moody algebras
type: Item
instance of: scholarly article
title: Classification of almost compact real forms of affine Kac-Moody algebras
zbMATH Open document ID: 1030.17025
DOI: 10.1016/S0021-8693(03)00345-4
author: Hechmi Ben Messaoud
author: Guy Rousseau
published in: Journal of Algebra
publication date: 2003-09-25T00:00:00Z
review text: The authors complete the classification of real forms of affine Kac-Moody algebras that they and others had begun earlier [\textit{V. Back-Valente, N. Bardy-Panse} and the authors, J. Algebra 171, 43-96 (1995; Zbl 0823.17034)] by classifying almost compact real forms; i.e. forms corresponding to semi-involutions of the second kind. They derive several invariants for these forms and produce a table of their results. They also establish that there are no isomorphisms among the forms on their list.
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 1985871
zbMATH Keywords: semi-involutions of the second kind
zbMATH Keywords: invariants
MaRDI profile type: Publication
cites work: Some forms of Kac-Moody algebras
cites work: Almost split forms of Kac-Moody algebras: classification and relative roots
cites work: Invariants of real forms of affine Kac-Moody Lie algebras
cites work: Q3475446
cites work: Q3715292
cites work: Q3485033
cites work: Les espaces symétriques noncompacts
cites work: Generators and relations for real forms of some kac-moody lie algebras
cites work: On semi-simple automorphisms of Lie algebras
cites work: Groupes reductifs
cites work: Q3897665
cites work: Q3693664
cites work: Q3027260
cites work: Q3797354
cites work: On automorphisms of Kac-Moody algebras and groups
cites work: A classification of involutive automorphisms of an affine Kac-Moody Lie algebra
cites work: Infinite flag varieties and conjugacy theorems
cites work: AFFINE TWIN BUILDINGS
cites work: Q3485035
cites work: Q3485034
cites work: Q4732597
cites work: Q4011435
cites work: Q4713564
cites work: Q4308244
cites work: Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
cites work: Q5648549
cites work: Q5289098
description: scientific article; zbMATH DE number 1985871