Strictification of étale stacky Lie groups
2011 ◽
Vol 148
(3)
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pp. 807-834
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AbstractWe define stacky Lie groups to be group objects in the 2-category of differentiable stacks. We show that every connected and étale stacky Lie group is equivalent to a crossed module of the form (Γ,G) where Γ 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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1985 ◽
Vol 38
(1)
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pp. 55-64
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2007 ◽
Vol 17
(01)
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pp. 115-139
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1986 ◽
Vol 40
(1)
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pp. 89-94
1968 ◽
Vol 32
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pp. 109-139
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2008 ◽
Vol 144
(4)
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pp. 1017-1045
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1970 ◽
Vol 40
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pp. 147-159
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1982 ◽
Vol 33
(2)
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pp. 185-192
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