On representation-finite algebras and beyond
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 o...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.1301.4088 |