On the Tensor Products of Modules for Dihedral 2-Groups

2008/01/17 by David A. Craven, Craven, David A.
Mathematics · #20C20 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C20

paper · pdf · doi:10.48550/arxiv.0801.2723

11 pages

arxiv created 2008/01/17 · arxiv updated 2009/12/01

Abstract

Recall that an algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that if L is a component of the (stable) Auslander-Reiten quiver for a dihedral 2-group consisting of non-periodic modules, then there is at most one algebraic module on L.

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