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arXiv · 1301.4088

On representation-finite algebras and beyond

Klaus Bongartz
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Abstract

We give a survey on the theory of representation-finite and certain minimal representation-infinite algebras.The main goals are the existence of multiplicative bases and of coverings with good properties. Both are attained via ray-categories. As applications we include a proof of a sharper version of the second Brauer-Thrall conjecture and of the fact that there are no gaps in the lengths of the indecomposable modules over an algebra.

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Klaus Bongartz. 2013-02-05. On representation-finite algebras and beyond. https://arxiv.org/abs/1301.4088

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