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On representation-finite selfinjective algebras, coverings, multiplicative bases ...

2023/05/27 by Klaus Bongartz, Bongartz, Klaus
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2305.17418

openalex publication_date 2023/05/27 · openalex created_date 2023/06/02 · openalex updated_date 2026/07/28

Abstract

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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