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arxiv: 1508.02970 · v2 · pith:YMJ7KSOLnew · submitted 2015-08-12 · 🧮 math.RT

Realizing orbit categories as stable module categories - a complete classification

classification 🧮 math.RT
keywords categoriescategorymoduleorbitstablealgebraequivalentrepresentation-finite
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We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective standard algebra. For each triangulated orbit category T we give an explicit description of a representation-finite self-injective standard algebra with stable module category triangle equivalent to T.

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