a1 Mathematisch Instituut, Universiteit Utrecht, PO Box 80.010 NL-3508, TA Utrecht, The Netherlands (email: A.G.Henriques@uu.nl)
Given a Lie n-algebra, we provide an explicit construction of its integrating Lie n-group. This extends work done by Getzler in the case of nilpotent -algebras. When applied to an ordinary Lie algebra, our construction yields the simplicial classifying space of the corresponding simply connected Lie group. In the case of the string Lie 2-algebra of Baez and Crans, we obtain the simplicial nerve of their model of the string group.
(Received March 26 2006)
(Accepted November 24 2007)
2000 Mathematics subject classification