Classification of minimal locally affine Lie algebras
type: Item
instance of: scholarly article
title: Classification of minimal locally affine Lie algebras
zbMATH Open document ID: 1506.17020
author: Jun Morita
author: Yoji Yoshii
published in: Journal of Algebra
publication date: 2022-11-23T00:00:00Z
review text: A locally affine Lie algebra is an infinite-rank analog of an affine Lie algebra. More precisely, a locally affine Lie algebra is a tame locally extended affine Lie algebra of rank \(1\). The paper classifies locally affine Lie algebras and gives a condition for a minimal locally affine Lie algebra to be isomorphic to a standard minimal locally affine Lie algebra containing the so-called degree derivation.
reviewed by: Saeid Azam
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 7622351
zbMATH Keywords: locally extended affine Lie algebra
zbMATH Keywords: locally affine Lie algebra
zbMATH Keywords: loop algebra
zbMATH Keywords: twisted loop algebra
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2022.11.004
OpenAlex ID: W4309684069
cites work: Extended affine Lie algebras and their root systems
cites work: Isotopy for Extended Affine Lie Algebras and Lie Tori
cites work: A graph-theoretical classification for reflectable bases
cites work: The arithmetic theory of loop groups
cites work: Locally finite root systems
cites work: Reflection systems and partial root systems
cites work: Q5691063
cites work: Locally extended affine Lie algebras
cites work: Locally loop algebras and locally affine Lie algebras
cites work: Unitary highest weight modules of locally affine Lie algebras
cites work: The classification of locally finite split simple Lie algebras
cites work: Q4661470
cites work: Q4661471
cites work: Q3003975
cites work: Universal central extensions of direct limits of Lie superalgebras
cites work: Extended affine root systems. I: Coxeter transformations
cites work: Q5269341
cites work: Q4831729
cites work: Lie tori -- a simple characterization of extended affine Lie algebras
cites work: Locally extended affine root systems
cites work: New Lie tori from Naoi tori
DOI: 10.1016/J.JALGEBRA.2022.11.004
description: scientific article; zbMATH DE number 7622351