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CHARACTERISTIC ZERO LOOP SPACE HOMOLOGY OF TWO-CONES

Published online by Cambridge University Press:  23 October 2000

CĂLIN POPESCU
CĂLIN POPESCU
Affiliation:
Université Catholique de Louvain, Institut de Mathématiques, 2, chemin du Cyclotron, B-1348 Louvain-La-Neuve, Belgium
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Abstract

Given a principal ideal domain R of characteristic zero, containing 1/2, and a two-cone X of appropriate connectedness and dimension, we present sufficient algebraic conditions for the Hopf algebra FH(ΩX; R) to be isomorphic with the universal enveloping algebra of an R-free graded Lie algebra; here, F stands for free part (that is, quotient by the R-torsion), H for homology, and Ω for the Moore loop space functor.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 5 , September 2000 , pp. 600 - 608
Copyright
© The London Mathematical Society 2000

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