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Decomposing tensor products and exterior and symmetric squares

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Author(s)
Barry, Michael J. J.
Date Issued
January 1, 2011
Abstract
We describe a new algorithm for decomposing tensor products of indecomposable KG-modules into a direct sum of indecomposable KG-modules when K is a field of finite characteristic p and G a cyclic group of order q = pt . We use this algorithm to extend reciprocity results of Gow and Laffey relating the exterior and symmetric squares of indecomposable modules when p is odd.
Journal
Journal of Group Theory
Department
Mathematics
Citation
Barry. M.J.J. (2011). Decomposing tensor products and exterior and symmetric squares. Journal of Group Theory, 14: 59-82. doi: 10.1515/jgt.2010.059
Publisher
de Gruyter
Version of Article
Published article
DOI
10.1515/jgt.2010.059
ISSN
1435-4446
1433-5883
Rights
This article was selected and published in The Journal of Group Theory ©2011 Barry. All rights reserved.
Subjects

tensor product

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