The Gabriel-Roiter measures admitting no direct predecessors over n-Kronecker quivers

2009/12/17 by Bo Chen, Chen, Bo
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.0912.3415

arxiv created 2009/12/17 · openalex publication_date 2009/12/17 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Q be an n-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and n arrows from 2 to 1. We show that there are infinitely many Gabriel-Roiter measures admitting no direct predecessors.

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