An instance of umbral methods in representation theory: the parking function module

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dc.creatorPetrullo, P.
dc.creatorSenato, D.
dc.date2008-07-30
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:13:46Z
dc.date.available2026-07-07T10:13:46Z
dc.descriptionWe test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\}$. Then we give an umbral expression of the Frobenius characteristic of the parking function module introduced by Haiman that allows an explicit relation between this symmetric function and the volume polynomial of Pitman and Stanley.
dc.identifierhttps://arxiv.org/abs/0807.4840
dc.identifierhttp://arxiv.org/abs/0807.4840
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172650
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05A18, 05A40, 05E05, 05E10
dc.titleAn instance of umbral methods in representation theory: the parking function module
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