On the Indecomposable Elements of the Bar Construction

DOI10.2307/2045704zbMath0613.55007OpenAlexW4244214930MaRDI QIDQ4720402

Richard M. Hain

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045704

zbMATH Keywords

Hopf algebrabar constructionPoincaré-Birkhoff-Witt theoremcommutative differential graded algebra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Graded rings and modules (associative rings and algebras) (16W50) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items (7)

The de Rham homotopy theory of complex algebraic varieties. I ⋮ The decomposition of Hochschild cohomology and Gerstenhaber operations ⋮ Theory of Koszul operads and homology of Poisson algebras ⋮ The hodge de rham theory of relative malcev completion1 ⋮ On the Hodge decomposition of differential graded bi-algebras. ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology ⋮ On the non-persistence of Hamiltonian identity cycles

Cites Work

• The dual Poincaré-Birkhoff-Witt theorem
• On the structure of Hopf algebras
• Rational homotopy theory
• Iterated integrals and homotopy periods
• Iterated path integrals

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