Geodesic
Spatial realization of a Lie algebra and the Bar construction
Theory and applications of categories, The Rosebrugh Festschrift, Tome 36 (2021), pp. 201-205.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.
Publié le :
Classification : 55P62, 17B55, 55U10
Keywords: rational homotopy theory, realization of Lie algebras, Lie models of simplicial sets, simplicial bar construction 
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     title = {Spatial realization of a {Lie} algebra and the {Bar} construction},
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Yves Félix; Daniel Tanré. Spatial realization of a Lie algebra and the Bar construction. Theory and applications of categories, The Rosebrugh Festschrift, Tome 36 (2021), pp. 201-205. http://geodesic.mathdoc.fr/item/TAC_2021_36_a6/