The Loewy length of the descent algebra of type D

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dc.creatorSaliola, Franco V.
dc.date2007-08-30
dc.date.accessioned2026-07-07T08:26:38Z
dc.date.available2026-07-07T08:26:38Z
dc.descriptionThe Loewy length of the descent algebra of type D_{2m+1} is shown to be m+2, for m \geq 2, by providing an upper bound that agrees with the lower bound in \cite{BonnafePfeiffer2006}. The bound is obtained by showing that the length of the longest path in the quiver of the descent algebra of D_{2m+1} is at most m+1. To achieve this bound, the geometric approach to the descent algebra is used, in which the descent algebra of a finite Coxeter group is identified with an algebra associated to the reflection arrangement of the group.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0708.4070
dc.identifierhttp://arxiv.org/abs/0708.4070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137006
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20F55, 05E99 (Primary)
dc.titleThe Loewy length of the descent algebra of type D
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