Homotopy and homology of simplicial abelian Hopf algebras
Identifieur interne : 002D67 ( Istex/Curation ); précédent : 002D66; suivant : 002D68Homotopy and homology of simplicial abelian Hopf algebras
Auteurs : Paul G. Goerss [États-Unis] ; James Turner [États-Unis]Source :
- Mathematische Zeitschrift [ 0025-5874 ] ; 1999-03-01.
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 $\pi_\ast A$ .
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DOI: 10.1007/PL00004702
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<front><div type="abstract" xml:lang="en">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 $\pi_\ast A$ .</div>
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