1109.4002 (Yunhe Sheng et al.)

Integration of Lie 2-algebras and their morphisms    [PDF]

Yunhe Sheng, Chenchang Zhu

Given a strict Lie 2-algebra, we can integrate it to a strict Lie 2-group by integrating the corresponding Lie algebra crossed module. On the other hand, the integration procedure of Getzler and Henriques will also produce a 2-group. In this paper, we show that these two integration results are Morita equivalent. As an application, we integrate a non-strict morphism between Lie algebra crossed modules to a generalized morphism between their corresponding Lie group crossed modules.

View original: http://arxiv.org/abs/1109.4002