Generators for decompositions of tensor products of modules associated with standard Jordan partitions.

Abstract

If K is a field of finite characteristic p, G is a cyclic group of order q = p(alpha), U and W are indecomposable KG-modules with dim U = m and dim W = n, and lambda(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 circle times W.