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

2020/06/25 by Guo, Jing, Liu, Yuming, Ye, Yu +1 · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2006.14287

Abstract

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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• A construction of simple-minded systems over domestic Brauer graph algebras I: the 2-domestic case

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