On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119257One can regard the category of represenations of quivers in Hilbert spaces as a subcategory in the category of all representations, and at that objects, which are indecomposable in the subcategory, become in general decomposable in the ``larger'' category. We prove that it does not happen with indecomposable locally scalar representations of a quiver.Representation TheoryFunctional Analysis16G20On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representationstext