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Calin Popescu +D=H=?JAHEIJE? AH F IF=?A DCO BH ?AHJ=E JM?AI

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Calin Popescu

Characteristic zero loop space homology for certain two-cones

Comment.Math.Univ.Carolinae 40,3 (1999) 593-597.

Abstract: Given a principal ideal domain R of characteristic zero, containing 1/2, and a two-coneX of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra F H(ΩX;R) to be isomorphic with the universal enveloping algebra of someR-free graded Lie algebra; as usual,F stands for free part,H for homology, and Ω for the Moore loop space functor.

Keywords: two-cone, Moore loop space, differential graded Lie algebra, free Lie algebra on a graded module, universal enveloping algebra, Hopf algebra

AMS Subject Classification: 55P35, 55P62, 57T05, 17B70, 17B35

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