On a Question of Glasby,Praeger, and Xia |
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Authors: | Michael J J Barry |
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Institution: | 1. Department of Mathematics , Allegheny College , Meadville , Pennsylvania , USA mbarry@allegheny.edu |
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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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Keywords: | Jordan partition |
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