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Generators for decompositions of tensor products of modules associated with standard Jordan partitions
Authors:Michael J J Barry
Institution:1. Department of Mathematics, Allegheny College, Meadville, Pennsylvania, USAmbarry@allegheny.edu
Abstract:If K is a field of finite characteristic p, G is a cyclic group of order q = pα, U and W are indecomposable KG-modules with dim U = m and dim W = n, and λ(m,n,p) is a standard Jordan partition of mn, we describe how to find a generator for each of the indecomposable components of the KG-module U ? W.
Keywords:Cyclic group  indecomposable module  module generator  tensor product
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