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

2006/11/13 by S. A. Kruglyak, Kruglyak, S. A., Л. А. Назарова +3
Mathematics · #16G20 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0611385

openalex publication_date 2006/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

One 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.

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