On representation-finite selfinjective algebras, coverings, multiplicative bases

We give a simplified complete proof for the classification of the selfinjective representation-finite algebras of finite dimension over an algebraically closed field. We explain the relations between the two different approaches and also to further developments. Many historical remarks are made.

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1. Verfasser: Bongartz, Klaus
Format: Artikel
Sprache:eng
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Zusammenfassung:We give a simplified complete proof for the classification of the selfinjective representation-finite algebras of finite dimension over an algebraically closed field. We explain the relations between the two different approaches and also to further developments. Many historical remarks are made.
DOI:10.48550/arxiv.2305.17418