Twisted descent algebras and the Solomon-Tits algebra

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dc.creatorPatras, Frederic
dc.creatorSchocker, Manfred
dc.date2003-10-20
dc.date.accessioned2026-07-07T05:02:06Z
dc.date.available2026-07-07T05:02:06Z
dc.descriptionThe purpose of the present article is to define and study a new class of descent algebras, called twisted descent algebras. These algebras are associated to the Barratt-Joyal theory of twisted bialgebras in the same way than classical descent algebras are associated to classical bialgebras. The formal properties of twisted descent algebras seem particularly meaningful in view of applications to discrete probabilities, to the geometry of Coxeter groups and buildings, and to symmetric group combinatorics.
dc.identifierhttps://arxiv.org/abs/math/0310310
dc.identifierhttp://arxiv.org/abs/math/0310310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68922
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject17D99; 05A18
dc.titleTwisted descent algebras and the Solomon-Tits algebra
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