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- W2037018001 abstract "Let (L,∂) be a differential graded Lie algebra over the prime field Fp. There exists an isomorphism of Hopf algebras H∗(UL)≅UE, where E is a graded Lie algebra (J. Pure. Appl. Algebra 83 (1992) 237–282). Suppose that L is q-reduced for some q⩾1. We prove a generalization of a classical theorem of Sullivan (Inst. Hautes Études Sci. Publ. Math. (47) (1977) 269–331), which we use to show that there is an isomorphism of graded Lie algebras H(L,∂)≅E×K, where K is an abelian (qp+p−2)-reduced ideal. As a consequence, if X is a finite, q-connected, n-dimensional CW complex, and EX is its mod p homotopy Lie algebra (J. Pure. Appl. Algebra 83 (1992) 237–282), then there are isomorphisms (EX)m≅πm+1(X;Fp) for m⩽min(q+2p−3,pq−1)." @default.
- W2037018001 created "2016-06-24" @default.
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- W2037018001 date "2002-02-01" @default.
- W2037018001 modified "2023-09-27" @default.
- W2037018001 title "A factorization of the homology of a differential graded Lie algebra" @default.
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- W2037018001 doi "https://doi.org/10.1016/s0022-4049(01)00037-8" @default.
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