2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63604We consider quiver representations respecting a quiver automorphism and show that the dimension vectors of the indecomposables are precisely the positive roots of an associated symmetrisable Kac-Moody Lie algebra. Moreover, every such Lie algebra arises in this way. We also discuss the relationship with species of valued quivers over finite fields.corrected typos; more transparent arguments in sections 4 and 6Representation TheoryRings and Algebras16G20;17B67;16S35Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kactext