Constructing algebraic Lie algebras

2006/11/14 by Claus Fieker, Willem A. de Graaf, Fieker, Claus +2
Mathematics · #11Y40 #17B45 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:11Y40 #msc:17B45

paper · pdf · doi:10.48550/arxiv.math/0611414

18 pages, 2 figures

arxiv created 2006/11/14 · openalex publication_date 2006/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero. It is based on an algorithm for finding integral linear dependencies of the roots of a polynomial, that is probably of independent interest.

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