Constructing algebraic groups from their Lie algebras

Authors:
Willem A. de Graaf
Affiliations:
Dipartimento di Matematica, Università di Trento, Italy
Venue:
Journal of Symbolic Computation
Year:
2009

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Abstract

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