Spatial realization of a Lie algebra and Bar construction of a group
Algebraic Topology
2021-03-08 v2
Abstract
We prove that the spatial realization of a rational complete Lie algebra , concentrated in degree 0, is isomorphic to the simplicial bar construction on the group, obtained from the Baker-Campbell-Hausdorff product on .
Keywords
Cite
@article{arxiv.1905.11347,
title = {Spatial realization of a Lie algebra and Bar construction of a group},
author = {Yves Félix and Daniel Tanré},
journal= {arXiv preprint arXiv:1905.11347},
year = {2021}
}