Indecomposable representations of the Kronecker quivers

DOI10.1090/S0002-9939-2012-11296-1zbMath1284.16017arXiv1009.5635OpenAlexW2085812389MaRDI QIDQ4911549

Claus Michael Ringel

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5635

zbMATH Keywords

path algebrasindecomposable representationsdimension vectorsfinite quiversKronecker algebrasKronecker quiverstree modules

Mathematics Subject Classification ID

Trees (05C05) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of quivers and partially ordered sets (16G20)

Related Items (8)

Exceptional modules over wild canonical algebras ⋮ Representations of Algebras ⋮ Indecomposable Jordan types of Loewy length 2 ⋮ Tree modules and counting polynomials. ⋮ Representations of regular trees and invariants of AR-components for generalized Kronecker quivers ⋮ Differential quiver algebras and tree modules ⋮ Tree normal forms for quiver representations ⋮ Distinguished Bases of Exceptional Modules

Cites Work

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• Infinite root systems, representations of graphs and invariant theory
• Representations of K-species and bimodules
• Exceptional modules are tree modules
• Tree modules of the generalised Kronecker quiver.

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