Calculating the structure of a semisimple Lie algebra
type: Item
instance of: scholarly article
title: Calculating the structure of a semisimple Lie algebra
zbMATH Open document ID: 0885.17002
DOI: 10.1016/S0022-4049(97)00016-9
published in: Journal of Pure and Applied Algebra
publication date: 1998-04-05T00:00:00Z
review text: The article presents several algorithms for finite-dimensional (semisimple) Lie algebras over a field of characteristic zero, which allows one to find a Cartan subalgebra; to decompose a semisimple Lie algebra into a direct sum of simple ideals; to obtain the type of a semisimple Lie algebra with rational structure constants. The last algorithm is new and based on a modular approach. The main assumption for these algorithms is that the Lie algebra is presented by a table of structure constants.
Mathematics Subject Classification ID: 17-08
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 1025701
zbMATH Keywords: semisimple Lie algebras
zbMATH Keywords: Cartan subalgebra
zbMATH Keywords: structure constants
zbMATH Keywords: algorithms
Wikidata QID: Q115340106
author: Willem A. De Graaf
reviewed by: Victor Ufnarovski
MaRDI profile type: Publication
cites work: Q4124770
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cites work: Q5583129
cites work: On the Cartan subalgebra of a Lie algebra
full work available at URL: s0022-4049(97)00016-9
OpenAlex ID: W2099923065
description: scientific article; zbMATH DE number 1025701