Constructing algebraic groups from their Lie algebras

2006/12/19 by Willem de Graaf, de Graaf, Willem
Mathematics · #17B #20G #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:17B #msc:20G

paper · pdf · doi:10.48550/arxiv.math/0612557

12 pages

arxiv created 2006/12/19 · arxiv updated 2009/12/01

Abstract

A connected algebraic group in characteristic 0 is uniquely determined by its Lie algebra. In this paper an algorithm is given for constructing an algebraic group in characteristic 0, given its Lie algebra. Using this an algorithm is presented for finding a maximal reductive subgroup and the unipotent radical of an algebraic group.

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