The Gabriel-Roiter measure and representation types of quivers.

DOI10.1016/j.aim.2012.07.031zbMath1255.16016OpenAlexW1990695014MaRDI QIDQ1759379

Bo Chen

Publication date: 20 November 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.07.031

zbMATH Keywords

tame quiversrepresentation typeswild quiversGabriel-Roiter measuresGabriel-Roiter segments

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Cites Work

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• The GR segments for tame hereditary algebras.
• Gabriel-Roiter inclusions and Auslander-Reiten theory.
• The number of the Gabriel-Roiter measures admitting no direct predecessors over a wild quiver.
• Regular modules with preprojective Gabriel-Roiter submodules over \(n\)-Kronecker quivers.
• Tame algebras and integral quadratic forms
• Representations of K-species and bimodules
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• The Gabriel-Roiter measure.
• On Tame Algebras and Bocses

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