Dimension vectors in regular components over wild Kronecker quivers.

DOI10.1016/J.BULSCI.2013.04.002zbMath1294.16010arXiv1209.0612OpenAlexW2089200360MaRDI QIDQ390550

Bo Chen

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0612

zbMATH Keywords

path algebrasAuslander-Reiten quiverspositive rootsdimension vectorsimaginary rootsquasi-lengths of moduleswild Kronecker quivers

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

Indecomposable Jordan types of Loewy length 2 ⋮ Dimension vectors with the equal kernels property ⋮ Representations of regular trees and invariants of AR-components for generalized Kronecker quivers ⋮ Representations of constant socle rank for the Kronecker algebra

Cites Work

• Tame algebras and integral quadratic forms
• Regular modules and quasi-lengths over a 3-Kronecker quiver: using Fibonacci numbers.
• The modules in any component of the AR-quiver of a wild hereditary Artin algebra are uniquely determined by their composition factors
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
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