UNIVERSAL ENVELOPING-ALGEBRAS AND LOOP SPACE HOMOLOGY

[摘要] Let R be a principal ideal domain containing 1/2, and let rho(R) be the least non-invertible prime in R. We prove the following theorem: Let X be an r-connected CW-complex (r greater-than-or-equal-to 1) such that dim X less-than-or-equal-to rrho(R). If H*(OMEGAX(i)R) is torsion free, then there is a graded Lie algebra E and a natural isomorphism UE --> is-approximately-equal-to H*(OMEGAX; R) of graded Hopf algebras.

[发布日期] 1992-12-11