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arXiv · 1905.11347

Spatial realization of a Lie algebra and Bar construction of a group

Yves Félix·Daniel Tanré
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Abstract

We prove that the spatial realization of a rational complete Lie algebra $L$, concentrated in degree 0, is isomorphic to the simplicial bar construction on the group, obtained from the Baker-Campbell-Hausdorff product on $L$.

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Yves Félix, Daniel Tanré. 2019-05-27. Spatial realization of a Lie algebra and Bar construction of a group. https://arxiv.org/abs/1905.11347

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