Maximal n-orthogonal modules for selfinjective algebras

Details Maximal n-orthogonal modules for selfinjective algebras Maximal n-orthogonal modules for selfinjective algebras

2006-03-29

arxiv.org/abs/math/0603672v1

Mathematics

Representation Theory

10 pages

Scientific paper

Let A be a selfinjective algebra. We show that, for any n, maximal
n-orthogonal A-modules (in the sense of Iyama), rarely exist. More precisely,
we prove that if A admits a maximal n-orthogonal module, then all A-modules are
of complexity at most 1.

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