Pith

open record

sign in

arxiv: 2504.10245 · v1 · pith:UCJGOBNT · submitted 2025-04-14 · math.RT · math.RA

A short proof for the acyclicity of oriented exchange graphs of cluster algebras

Shuhao Deng , Changjian Fu This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:UCJGOBNTrecord.jsonopen to challenge →

classification math.RT math.RA
keywords clusterproofshortacyclicityalgebrasanalogscao23cite
0
0 comments X
read the original abstract

The statement in the title was proved in \cite{Cao23} by introducing dominant sets of seeds, which are analogs of torsion classes in representation theory. In this note, we observe a short proof by the existence of consistent cluster scattering diagrams.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.