Strictification of etale stacky Lie groups
Differential Geometry
2019-02-20 v1 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1006.1262,
title = {Strictification of etale stacky Lie groups},
author = {Giorgio Trentinaglia and Chenchang Zhu},
journal= {arXiv preprint arXiv:1006.1262},
year = {2019}
}
Comments
25 pages