Publication Date:
2016-12-01
Description:
Let G be a connected complex Lie group or a connected amenable Lie group. We show that any flat principal G -bundle over any finite CW -complex pulls back to a trivial G -bundle over some finite covering space of the base space if and only if the derived group of the radical of G is simply connected. In particular, if G is a connected compact Lie group or a connected complex reductive Lie group, then any flat principal G -bundle over any finite CW -complex pulls back to a trivial G -bundle over some finite covering space of the base space.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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