A prismatic decomposition of the Barratt-Eccles operad

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dc.creatorBerger, Clemens
dc.creatorFresse, Benoit
dc.date2002-04-27
dc.date.accessioned2026-07-07T04:48:06Z
dc.date.available2026-07-07T04:48:06Z
dc.descriptionThe Barratt-Eccles operad is a simplicial operad formed by the classical homogeneous bar construction of the symmetric groups. We prove that these simplicial sets decompose as unions of prisms indexed by surjections. We observe that the cellular complexes given by this prismatic structure are nothing but the components of the surjection operad (the operad introduced by J. McClure and J. Smith in their work on the Deligne conjecture).
dc.descriptionProjet de note aux C.R.Acad.Sci.Paris
dc.identifierhttps://arxiv.org/abs/math/0204326
dc.identifierhttp://arxiv.org/abs/math/0204326
dc.identifierC. R. Acad. Sci. Paris Ser. I Math. 335 (2002), pp. 365-370
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63920
dc.subjectAlgebraic Topology
dc.subject55U10, 18C10
dc.titleA prismatic decomposition of the Barratt-Eccles operad
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