A. Murillo

activity

20002026

most citedHomotopy theory of complete Lie algebras and Lie models of simplicial sets

17 citations · 81 across the 27 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AT2021

The homology of the lamplighter Lie algebra

Yves Félix, Aniceto Murillo

We show that the associated Lie algebra of the Malcev $Q$ -completion of the lamplighter group is the pronilpotent completion of the lamplighter Lie algebra. We also prove…

math.AT2021

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.

math.AT2021

Lie models of homotopy automorphism monoids and classifying fibrations

Yves Félix, Mario Fuentes, Aniceto Murillo

Given $X$ a finite nilpotent simplicial set, consider the classifying fibrations $X \to B a u t_{G}^{*} (X) \to B a u t_{G} (X), X \to Z \to B a u t_{π}^{*} (X),$ where $G$ and $π$ denote, respect…