On a Question of Glasby, Praeger, and Xia

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2015-07-06
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Barry, Michael J. J.
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Jordan partition.
Abstract
A Jordan partition λ(m, n, p) = (λ1, λ2, … , λ m ) is a partition of mn associated with the expression of a tensor V m ⊗ V n of indecomposable KG-modules into a sum of indecomposables, where K is a field of characteristic p and G a cyclic group of p-power order. It is standard if λ i = m + n − 2i + 1 for all i. We answer a recent question of Glasby, Praeger, and Xia who asked for necessary and sufficient conditions for λ(m, n, p) to be standard.
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Mathematics
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This is the Author's Original Manuscript of an article published by Taylor & Francis in Communications in Algebra on July 6, 2015, available online: http://wwww.tandfonline.com/10.1080/00927872.2014.941470.
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Barry, M.J.J. (2015) On a Question of Glasby, Praeger, and Xia, Communications in Algebra, 43:10, 4231-4246, DOI: 10.1080/00927872.2014.941470.
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Taylor & Francis
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