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Frédéric Chapoton
Bigèbres différentielles graduées associées aux permutoèdres, associaèdres et hypercubes
Annales de l'institut Fourier, 50 no. 4 (2000), p. 1127-1153, doi: 10.5802/aif.1787
Article PDF | Reviews MR 2002f:16081 | Zbl 0963.16032 | 1 citation in Cedram

Résumé - Abstract

We construct a differential graded bialgebra on the direct sum of cellular complexes of permutohedra, which contains as a differential graded sub-bialgebra the direct sum of cellular complexes of associahedra. This extends to the level of all cells previous constructions for vertices of the same polyhedra by Malvenuto and Reutenauer and by Loday and Ronco.

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