Title | **An algorithm for the classification of 3-dimensional complex Leibniz algebras** |

Author(s) | José Manuel Casas, Manuel A. Insua, Manuel Ladra, S. Ladra |

Type | Article in Journal |

Abstract | We propose an algorithm using Gröbner bases that decides in terms of the existence of a non singular matrix P if two Leibniz algebra structures over a finite dimensional C -vector space are representative of the same isomorphism class. We apply this algorithm in order to obtain a reviewed classification of the 3-dimensional Leibniz algebras given by Ayupov and Omirov. The algorithm has been implemented in a Mathematica notebook. |

Keywords | Leibniz algebra, Gröbner bases |

ISSN | 0024-3795 |

URL |
http://www.sciencedirect.com/science/article/pii/S0024379511008251 |

Language | English |

Journal | Linear Algebra and its Applications |

Volume | 436 |

Number | 9 |

Pages | 3747 - 3756 |

Year | 2012 |

Edition | 0 |

Translation |
No |

Refereed |
No |