# 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:** 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:** 106 McAllister

**Date:** 11/16/2010

**Time:** 2:30pm - 3:30pm