Generators for Decompositions of Tensor Products of Modules associated\n with standard Jordan partitions

2015/08/07 by Michael J. J. Barry, Barry, Michael J. J.
Mathematics · Computer Science · #Finite Group Theory Research #Coding theory and cryptography #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1508.01768

Abstract

If K is a field of finite characteristic p, G is a cyclic group of\norder q=p^\α, U and W are indecomposable KG-modules with \dim U=m\nand \dim W=n, and \λ(m,n,p) is a standard Jordan partition of m n,\nwe describe how to find a generator for each of the indecomposable components\nof the KG-module U \⊗ W.\n

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