Homomorphisms between Weyl modules for SL_3(k)

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dc.creatorCox, Anton
dc.creatorParker, Alison
dc.date2005-08-26
dc.date.accessioned2026-07-07T05:22:43Z
dc.date.available2026-07-07T05:22:43Z
dc.descriptionWe classify all homomorphisms between Weyl modules for SL_3(k) when k is an algebraically closed field of characteristic at least three, and show that the Hom-spaces are all at most one-dimensional. As a corollary we obtain all homomorphisms between Specht modules for the symmetric group when the labelling partitions have at most three parts and the prime is at least three. We conclude by showing how a result of Fayers and Lyle on Hom-spaces for Specht modules is related to earlier work of Donkin for algebraic groups.
dc.description41 pages, 2 colour figures, 25 black and white figures
dc.identifierhttps://arxiv.org/abs/math/0508520
dc.identifierhttp://arxiv.org/abs/math/0508520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76166
dc.subjectRepresentation Theory
dc.subject20G05; 20C30
dc.titleHomomorphisms between Weyl modules for SL_3(k)
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