Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism

TL;DR

This paper extends the classification of maximal rigid representations from cyclic quivers to continuous type A quivers with automorphisms, providing a formula for counting their isomorphism classes.

Contribution

It introduces a formula for counting maximal rigid representations of continuous type A quivers with automorphisms, building on prior cyclic quiver classifications.

Findings

Derived a counting formula for isomorphism classes

Extended classification to continuous quivers with automorphisms

Built on previous cyclic quiver results

Abstract

Buan and Krause gave a classification of maximal rigid representations for cyclic quivers and counted the number of isomorphism classes. By using this result, we give a formula on the number of isomorphism classes of a kind of maximal rigid representations for continuous quivers of type A with automorphism.