Shift orbits for elementary representations of Kronecker quivers

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-03-11 DOI:10.1112/jlms.70122

Daniel Bissinger

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引用次数: 0

Abstract

Let $r \in N_{⩾ 3}$ . We denote by $K_{r}$ the wild $r$ -Kronecker quiver with $r$ arrows $γ_{i} : 1 ⟶ 2$ and consider the action of the group $G_{r} \subseteq Aut (Z^{2})$ generated by $δ : Z^{2} ⟶ Z^{2}, (x, y) \mapsto (y, x)$ and $σ_{r} : Z^{2} ⟶ Z^{2}, (x, y) \mapsto (r x - y, x)$ on the set of regular dimension vectors

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.