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Homotopy and homology of simplicial abelian Hopf algebras

Identifieur interne : 001569 ( Main/Exploration ); précédent : 001568; suivant : 001570

Homotopy and homology of simplicial abelian Hopf algebras

Auteurs : Paul G. Goerss [États-Unis] ; James Turner [États-Unis]

Source :

RBID : ISTEX:DE60498ECF1A5863607F3FA954160F086FEE55BC

Abstract

Abstract.: Let A be a simplicial bicommutative Hopf algebra over the field $\mathbb{F}_2$ with the property that $\pi_0A \cong \mathbb{F}_2$ . We show that $\pi_\ast A$ is a functor of the André-Quillen homology of A, where A is regarded as an $\mathbb{F}_2$ algebra. Then we give a method for calculating that André-Quillen homology independent of knowledge of $\pi_\ast A$ .

Url:
DOI: 10.1007/PL00004702


Affiliations:


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