Title | **Constructing algebraic groups from their Lie algebras** |

Author(s) | Willem A. |

Type | Article in Journal |

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. |

Keywords | Algebraic groups, Lie algebras, Computational methods |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717109000194 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 44 |

Number | 9 |

Pages | 1223 - 1233 |

Year | 2009 |

Note | Effective Methods in Algebraic Geometry |

Edition | 0 |

Translation |
No |

Refereed |
No |