Аннотация:Abstract 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 $L_\infty $ -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.
