The local integration of Leibniz algebras

GAP Seminar

Meeting Details

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

Speaker: Simon Covez, University of Nantes

Abstract Link:

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: 106 McAllister

Date: 11/16/2010

Time: 2:30pm - 3:30pm