17 citations · 41 across the 11 of their papers we have counts for
17 papers
The homology of the lamplighter Lie algebra
Yves Félix, Aniceto Murillo
We show that the associated Lie algebra of the Malcev -completion of the lamplighter group is the pronilpotent completion of the lamplighter Lie algebra. We also prove…
Homology of the completion of a Lie algebra
Yves Félix, Aniceto Murillo
We prove that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountable.
Lie models of homotopy automorphism monoids and classifying fibrations
Yves Félix, Mario Fuentes, Aniceto Murillo
Given a finite nilpotent simplicial set, consider the classifying fibrations where and denote, respect…
Realization of Lie algebras and classifying spaces of crossed modules
Yves Félix, Daniel Tanré
The category of complete differential graded Lie algebras provides nice algebraic models for the rational homotopy types of non-simply connected spaces. In particular, there is a r…
Spatial realization of a Lie algebra and Bar construction of a group
Yves Félix, Daniel Tanré
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…
Symmetric Lie models of a triangle
Urtzi Buijs, Yves Félix, Aniceto Murillo +1
R. Lawrence and D. Sullivan have constructed a Lie model for an interval from the geometrical idea of flat connections and flows of gauge transformations. Their model supports an a…