Some properties of modules for generalized Kac-Moody algebras
type: Item
instance of: scholarly article
title: Some properties of modules for generalized Kac-Moody algebras
zbMATH Open document ID: 0820.17032
author: Zhixue Zhang
published in: Chinese Science Bulletin
publication date: 1995-09-14T00:00:00Z
review text: Let \(g(A)\) be a generalized Kac-Moody algebra associated with a real \(n\times n\) matrix \(A= (a_{ij})\) satisfying the following properties: (i) either \(a_{ii} =2\) or \(a_{ii}\leq 0\); (ii) \(a_{ij}\leq 0\) if \(i\neq j\), and \(a_{ij}\in \mathbb{Z}\) if \(a_{ii}=2\); (iii) \(a_{ij}=0\) implies \(a_{ji}=0\). Several properties of integrable (highest weight) modules are proved.
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 468816
zbMATH Keywords: highest weight module
zbMATH Keywords: integrable module
zbMATH Keywords: generalized Kac-Moody algebra
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 468816