Cluster algebras associated with extended Dynkin quivers

2005/07/06 by Aslak Bakke Buan, Buan, Aslak Bakke, Idun Reiten +1 · 1 citation
Mathematics · #16G20 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0507113

6 pages

arxiv created 2005/07/06 · openalex publication_date 2005/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the mutation class of a finite quiver without oriented cycles is finite if and only is the quiver is either Dynkin, extended Dynkin or has at most two vertices.

Cited by

• BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

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