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Given a strict Lie 2-algebra, we can integrate it to a strict Lie 2-group by integrating the corresponding Lie algebra crossed module.
Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras,
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From double Lie groupoids to local Lie 2-groupoids, Bull. Braz. Math. Soc. 42 (2011), no. 4, 651-681
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