Document Type
Article
Publication Date
2-1-2007
Publication Title
Journal of Pure and Applied Algebra
Abstract
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.
Repository Citation
Bubenik, Peter G., "Separated Lie Models and The Homotopy Lie Algebra" (2007). Mathematics and Statistics Faculty Publications. 229.
https://engagedscholarship.csuohio.edu/scimath_facpub/229
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
212
Issue
2
