Constructing algebraic groups from their Lie algebras

Mathematics – Rings and Algebras

Scientific paper

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12 pages

Scientific paper

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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