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An explicit construction of simple-minded systems over self-injective Nakayama algebras

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arxiv 2006.14287 v1 pith:OTZ5XMCX submitted 2020-06-25 math.RT

classification math.RT
keywords self-injectivesimple-mindedalgebrasconstructionexplicitnakayamasystemsystems
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Recently, we obtained in [7] a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective algebra. In this paper, we apply this result to give an explicit construction of simple-minded systems over self-injective Nakayama algebras.

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