The Gabriel-Roiter measures admitting no direct predecessors over n-Kronecker quivers
classification
🧮 math.RT
keywords
admittingdirectgabriel-roiterkroneckermeasurespredecessorsquiverarrows
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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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