Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596089 | Journal of Pure and Applied Algebra | 2015 | 8 Pages |
Abstract
Let L be a graded connected Lie algebra of finite type and finite depth (for instance the rational homotopy Lie algebra of a finite simply connected CW complex). Let L(p)={Lpk}k≥1L(p)={Lpk}k≥1. Then for any prime p , limnlogdimL(p)≤nlogdimL≤n=1. In particular for a space X , the Lie algebra LX=π⁎(ΩX)⊗QLX=π⁎(ΩX)⊗Q and its even dimensional part LX(2)LX(2) have the same log index.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yves Félix, Steve Halperin, Jean-Claude Thomas,