科研之友
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摘要
We define stacky Lie groups to be group objects in the 2-category of differentiable stacks. We show that every connected and kale stacky Lie group is equivalent to a crossed module of the form (Gamma, G) where Gamma 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.
- 出版日期2012-5
