Characteristic zero loop space homology of two-cones

Authors
Popescu, C
Citation
C. Popescu, Characteristic zero loop space homology of two-cones, B LOND MATH, 32, 2000, pp. 600-608
Citations number
11
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
32
Year of publication
2000
Part
5
Pages
600 - 608
Database
ISI
SICI code
0024-6093(200009)32:<600:CZLSHO>2.0.ZU;2-N
Abstract
Given a principal ideal domain R of characteristic zero, containing 1/2, an d a two-cone X of appropriate connectedness and dimension, we present suffi cient algebraic conditions for the Hopf algebra FH(Omega X;R) to be isomorp hic 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 ho mology, and Omega for the Moore loop space functor.