Computing Cartan subalgebras of Lie algebras
type: Item
instance of: scholarly article
title: Computing Cartan subalgebras of Lie algebras
zbMATH Open document ID: 0883.17001
DOI: 10.1007/BF01293593
author: Gábor Ivanyos
author: Lajos Rónyai
author: Willem A. De Graaf
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1997-01-05T00:00:00Z
review text: Let \(k\) be a finite field or an algebraic number field and \(L\) a finite dimensional Lie algebra over \(k\). The main result of the paper is a deterministic polynomial time algorithm for computing Cartan subalgebras of \(L\) in the following two cases: 1) \(|k|>\dim_k(L)\), and 2) \(k\) is a finite field and \(L\) is a restricted Lie algebra.
reviewed by: Pham Huu Tiep
Mathematics Subject Classification ID: 17-04
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17-08
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 936993
zbMATH Keywords: restricted Lie algebra
zbMATH Keywords: Cartan subalgebra
zbMATH Keywords: symbolic computation
zbMATH Keywords: polynomial time algorithm
Wikidata QID: Q115393738
describes a project that uses: CANONIK
MaRDI profile type: Publication
cites work: Q3995610
cites work: Q3862379
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full work available at URL: https://doi.org/10.1007/bf01293593
OpenAlex ID: W2165167753
description: scientific article; zbMATH DE number 936993