Lie algebras of an affinization of a generalized Cartan matrix
type: Item
instance of: scholarly article
title: Lie algebras of an affinization of a generalized Cartan matrix
zbMATH Open document ID: 0936.17024
author: Kai Hing Lum
published in: Archiv der Mathematik
publication date: 2000-05-24T00:00:00Z
review text: The author defines the affinized Lie algebra \(g_a(A^{[1]})\) of \(A^{[1]}\), a 1-fold affinization of a generalized Cartan matrix \(A\) of finite or affine type and proves that the affinized Lie algebra \(g_a (A^{[1]})\) and the radical free contragredient Lie algebra \(g_c (A^{[1]})\) are homomorphic images of a Lie algebra with finitely generated many kernels.
reviewed by: N. Sthanumoorthy
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 1186700
zbMATH Keywords: toroidal Lie algebra
zbMATH Keywords: affinized Lie algebra
zbMATH Keywords: generalized Cartan matrix
zbMATH Keywords: contragredient Lie algebra
MaRDI profile type: Publication
full work available at URL: s000130050217
OpenAlex ID: W2030169945
DOI: 10.1007/S000130050217
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description: scientific article; zbMATH DE number 1186700