For more information about this meeting, contact Mathieu Stienon, Ping Xu, Nigel Higson.

Title: | The local integration of Leibniz algebras |

Seminar: | GAP Seminar |

Speaker: | Simon Covez, University of Nantes |

Abstract Link: | http://www.math.psu.edu/stienon/talk_simon_covez.pdf |

Abstract: |

We can provide the tangent space at 1 of a Lie group with a Lie algebra structure.
Conversely, Lie's third theorem establishes that to every Lie algebra of finite
dimension, we can associate, up to isomorphism, a unique simply connected Lie
group such that its tangent space at 1 is isomorphic to our given Lie algebra.
The goal of this talk is to give results which generalize this correspondance to a larger type of algebras : the Leibniz algebras. A Leibniz algebra being a vector space provided with a bracket which satisfies only the Jacobi identity (not necessarily the skew-symmetry).We will show that every Leibniz algebra can be locally integrate into an augmented Lie rack. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 11 / 16 / 2010 |

Time: | 02:30pm - 03:30pm |