On the Tensor Products of Modules for Dihedral 2-Groups

Details On the Tensor Products of Modules for Dihedral 2-Groups On the Tensor Products of Modules for Dihedral 2-Groups

2008-01-17

arxiv.org/abs/0801.2723v1

Mathematics

Representation Theory

11 pages

Scientific paper

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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