Journal of Pure and Applied Algebra
Abstract. A simply connected topological space X has homotopy Lie algebra π∗(ΩX) ⊗ Q. Following Quillen, there is a connected differential graded free Lie algebra (dgL) called a Lie model, which determines the rational homotopy type of X, and whose homology is isomorphic to the homotopy Lie algebra. We show that such a Lie model can be replaced with one that has a special property we call separated. The homology of a separated dgL has a particular form which lends itself to calculations. 1.
Bubenik, Peter G., "Separated Lie Models and The Homotopy Lie Algebra" (2007). Mathematics Faculty Publications. 229.
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