The shuffle bialgebra and the cohomology of commutative algebras

DOI10.1016/0022-4049(91)90073-BzbMath0728.13003OpenAlexW1968905860MaRDI QIDQ804644

Murray Gerstenhaber, Samuel D. Schack

Publication date: 1991

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90073-b

zbMATH Keywords

\(\lambda \) -algebraHodge decomposition of the Hochschild homology

Mathematics Subject Classification ID

Related Items (17)

A cohomology theory for \(A(m)\)-algebras and applications ⋮ Unnamed Item ⋮ On the hochschild homology decompositions ⋮ The decomposition of Hochschild cohomology and Gerstenhaber operations ⋮ Theory of Koszul operads and homology of Poisson algebras ⋮ Braided antisymmetrizer as bialgebra homomorphism ⋮ HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY ⋮ The Hodge structure of the coloring complex of a hypergraph ⋮ A Hodge decomposition interpretation for the coefficients of the chromatic polynomial ⋮ Cocommutative Hopf algebras of permutations and trees. ⋮ On the Hodge decomposition of differential graded bi-algebras. ⋮ Generic algebras and iterated Hochschild homology ⋮ Witt vectors. Part 1 ⋮ Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology ⋮ A Leray theorem for the generalization to operads of Hopf algebras with divided powers ⋮ The weight decomposition of Hopf algebras ⋮ Algèbre des descentes et cogroupes dans les algèbres sur une opérade

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The action of \(S_ n\) on the components of the Hodge decomposition of Hochschild homology
• A decomposition for the cyclic cohomology of a commutative algebra
• Cyclic homology and the Lie algebra homology of matrices
• A Hodge-type decomposition for commutative algebra cohomology
• Generic finite schemes and Hochschild cocycles
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Endomorphisms of finitely generated projective modules over a commutative ring
• Harrison homology, Hochschild homology and triples
• Differential Forms On Regular Affine Algebras
• Determinants in Projective Modules
• On the Deformation of Algebra Morphisms and Diagrams

This page was built for publication: The shuffle bialgebra and the cohomology of commutative algebras