On minimal representation-infinite algebras

2017/05/30 by Klaus Bongartz, Bongartz, Klaus · 1 citation
Computer Science · Mathematics · #16G60 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1705.10858

openalex publication_date 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Over an algebraically closed field we classify all minimal representation-infinite algebras where the lattice of two-sided ideals is not distributive. As a consequence there are only finitely many isomorphism classes of minimal representation-infinite algebras in each dimension.

Citations

• Representation embeddings and the second Brauer-Thrall conjecture

Cited by

• On the bricks (Schur representations) of finite dimensional algebras

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