Decomposing tensor products and exterior and symmetric squares

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2011-01-01
Authors
Barry, Michael J. J.
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Keywords
tensor product
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.
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Mathematics
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This article was selected and published in The Journal of Group Theory ©2011 Barry. All rights reserved.
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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
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Published article
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de Gruyter
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