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

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

2009-12-17

arxiv.org/abs/0912.3415v1

Mathematics

Representation Theory

Scientific paper

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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