Elementary divisors of Gram matrices of certain Specht modules

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dc.creatorKuenzer, Matthias
dc.creatorNebe, Gabriele
dc.date2002-03-14
dc.date2003-07-29
dc.date.accessioned2026-07-07T04:47:02Z
dc.date.available2026-07-07T04:47:02Z
dc.descriptionThe elementary divisors of the Gram matrices of Specht modules S^lambda over the symmetric group are determined for two-row partitions and for two-column partitions lambda. More precisely, the subquotients of the Jantzen filtration are calculated using Schaper's formula. Moreover, considering a general partition lambda of n at a prime p > n - lambda_1, the only possible non trivial composition factor of S_p^lambda is induced by the morphism of Carter and Payne, as shown by means of Kleshchev's modular branching rule. This enables the Jantzen filtration to be calculated in this case as well.
dc.descriptionNotes added in proof: (2.5, 4.1) indepentenly obtained by M. Fayers. (2.5) obtained by G.E. Murphy in his thesis. Minor corrections
dc.identifierhttps://arxiv.org/abs/math/0203129
dc.identifierhttp://arxiv.org/abs/math/0203129
dc.identifierComm. Alg. 31 (7), 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63559
dc.subjectRepresentation Theory
dc.subject20C30
dc.titleElementary divisors of Gram matrices of certain Specht modules
dc.typetext

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