Representations of Thread Quivers

Mathematics – Representation Theory

Scientific paper

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25 pages

Scientific paper

We characterize the small k-linear (k algebraically closed) Karoubi
categories of which the category of finitely presented representations are
abelian and satisfy Serre duality. Furthermore, we show that those categories
whose category of finitely presented representations is hereditary are
classified by so called thread quivers.

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