Constructing all irreducible Specht modules in a block of the symmetric group

Simple item page
dc.creatorCossey, James P.
dc.creatorOndrus, Matthew
dc.creatorVinroot, C. Ryan
dc.date2006-05-24
dc.date.accessioned2026-07-07T07:14:30Z
dc.date.available2026-07-07T07:14:30Z
dc.descriptionFor any prime p, we construct, and simultaneously count, all of the complex Specht modules in a given p-block of the symmetric group which remain irreducible when reduced modulo p. We call the Specht modules with this property p-irreducible modules. Recently Fayers has proven a conjecture of James and Mathas that provides a characterization of the partitions that correspond to the p-irreducible modules. In this paper we present a method for decomposing the partitions corresponding to p-irreducible modules, and we use this decomposition to construct and count all of the partitions corresponding to p-irreducible Specht modules in a given block.
dc.identifierhttps://arxiv.org/abs/math/0605654
dc.identifierhttp://arxiv.org/abs/math/0605654
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112903
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E10
dc.titleConstructing all irreducible Specht modules in a block of the symmetric group
dc.typetext

Files

Collections

arXiv