Irreducible Specht modules are signed Young modules

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dc.creatorHemmer, David J.
dc.date2005-12-20
dc.date.accessioned2026-07-07T06:55:34Z
dc.date.available2026-07-07T06:55:34Z
dc.descriptionRecently Donkin defined signed Young modules as a simultaneous generalization of Young and twisted Young modules for the symmetric group. We show that in odd characteristic, if a Specht module $S^λ$ is irreducible, then $S^λ$ is a signed Young module. Thus the set of irreducible Specht modules coincides with the set of irreducible signed Young modules. This provides evidence for our conjecture that the signed Young modules are precisely the class of indecomposable self-dual modules with Specht filtrations. The theorem is false in characteristic two.
dc.descriptionto appear Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0512469
dc.identifierhttp://arxiv.org/abs/math/0512469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106321
dc.subjectRepresentation Theory
dc.subject20C30
dc.titleIrreducible Specht modules are signed Young modules
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