Regular modules and quasi-lengths over a 3-Kronecker quiver: using Fibonacci numbers.

DOI10.1007/S00013-010-0157-6zbMath1198.16015OpenAlexW2088874454MaRDI QIDQ992024

Bo Chen

Publication date: 8 September 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0157-6

zbMATH Keywords

Fibonacci numbersAuslander-Reiten translationsCoxeter transformationsdimension vectors3-Kronecker quiversindecomposable regular representationsquasi-lengths

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Dimension vectors in regular components over wild Kronecker quivers. ⋮ Regular modules with preprojective Gabriel-Roiter submodules over \(n\)-Kronecker quivers.

Cites Work

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• The modules in any component of the AR-quiver of a wild hereditary Artin algebra are uniquely determined by their composition factors

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