Differential graded bialgebras associated to permutohedra, associahedra and hypercubes

DOI10.5802/aif.1787zbMath0963.16032OpenAlexW2035468895MaRDI QIDQ1572645

Frédéric Chapoton

Publication date: 19 July 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_4_1127_0

zbMATH Keywords

Hopf algebraspolytopeshypercubescomplexesdifferential graded bialgebrasassociahedrapermutohedra

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Graded rings and modules (associative rings and algebras) (16W50) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (6)

Geometric combinatorial algebras: Cyclohedron and simplex ⋮ Generalized Tamari Order ⋮ Construction de certaines opérades et bigèbres associées aux polytopes de Stasheff et hypercubes ⋮ Species substitution, graph suspension, and graded Hopf algebras of painted tree polytopes ⋮ From left modules to algebras over an operad: application to combinatorial Hopf algebras ⋮ Tree expansion in time-dependent perturbation theory

Cites Work

• Unnamed Item
• Hopf algebra of the planar binary trees
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Hopf algebras of permutahedra, associahedra and hypercubes
• Lectures on Polytopes
• Homotopy Associativity of H-Spaces. I

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