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arXiv · 1109.4002

Integration of Lie 2-algebras and their morphisms

Yunhe Sheng·Chenchang Zhu
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Abstract

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.

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Yunhe Sheng, Chenchang Zhu. 2012-10-18. Integration of Lie 2-algebras and their morphisms. https://doi.org/10.1007/s11005-012-0578-1

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