Constructing algebraic groups from their Lie algebras |
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Authors: | Willem A. de Graaf |
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Affiliation: | Dipartimento di Matematica, Università di Trento, Italy |
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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. |
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Keywords: | Algebraic groups Lie algebras Computational methods |
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