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On minimal representation-infinite algebras

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arxiv 1705.10858 v5 pith:HKO7EDK4 submitted 2017-05-30 math.RT

Klaus Bongartz This is my paper · ORCID
classification math.RT
keywords algebrasminimalrepresentation-infinitealgebraicallyclassesclassifyclosedconsequence
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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.

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  1. Magnitude of module categories

    math.RT 2026-07 accept novelty 7.0 of 10

    The magnitude of a module category equals the Euler characteristic of its Auslander–Reiten quiver; for biserial algebras it equals the rank, and for hereditary type A_n it equals n.

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