Branching Rules for Specht Modules

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dc.creatorEllers, Harald
dc.creatorMurray, John
dc.date2004-08-06
dc.date.accessioned2026-07-07T05:11:05Z
dc.date.available2026-07-07T05:11:05Z
dc.descriptionLet n be a positive integer and let Sigma_n be the symmetric group of degree n. Let S^lambda be the Specht module for Sigma_n corresponding to a partition lambda of n, defined over a field F of odd characteristic. We find the indecomposable components of the restriction of S^lambda to Sigma_{n-1}, and of the induction of S^lambda to Sigma_{n+1}. Namely, if b and B are block idempotents of FSigma_{n-1} and FSigma_{n+1} respectively, then the modules S^lambda b and S^lambda B are 0 or indecomposable. We give examples to show that the assumption that F has odd characteristic cannot be dropped.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0408088
dc.identifierhttp://arxiv.org/abs/math/0408088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72124
dc.subjectRepresentation Theory
dc.subject20C20; 20C30
dc.titleBranching Rules for Specht Modules
dc.typetext

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