Strictification of etale stacky Lie groups

Details Strictification of etale stacky Lie groups Strictification of etale stacky Lie groups

2010-06-07

arxiv.org/abs/1006.1262v1

Mathematics

Differential Geometry

25 pages

Scientific paper

We define stacky Lie groups to be group objects in the 2-category of differentiable stacks. We show that every connected and etale stacky Lie group is equivalent to a crossed module of the form (H,G) where H is the fundamental group of the given stacky Lie group and G is the connected and simply connected Lie group integrating the Lie algebra of the stacky group. Our result is closely related to a strictification result of Baez and Lauda.

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