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arXiv · 2006.14289

On simple-minded systems over representation-finite self-injective algebras

Jing Guo·Yuming Liu·Yu Ye·Zhen Zhang
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Abstract

Let $A$ be a representation-finite self-injective algebra over an algebraically closed field $k$. We give a new characterization for an orthogonal system in the stable module category $A$-$\stmod$ to be a simple-minded system. As a by-product, we show that every Nakayama-stable orthogonal system in $A$-$\stmod$ extends to a simple-minded system.

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Jing Guo, Yuming Liu, Yu Ye, Zhen Zhang. 2020-06-25. On simple-minded systems over representation-finite self-injective algebras. https://arxiv.org/abs/2006.14289

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