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arXiv · 2606.21881

A note on simple-minded systems and weakly simple-minded systems over self-injective algebras

Zhen Zhang
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Abstract

Let A be a self-injective algebra over an algebraically closed field. We study the relationship between simple-minded systems and weakly simple-minded systems in A-stmod. We present a necessary and sufficient condition for an orthogonal system to be a simple-minded system over domestic Brauer graph algebras. As a byproduct, we construct a class of simple-minded systems over 2-domestic Brauer graph algebras.

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Zhen Zhang. 2026-06-20. A note on simple-minded systems and weakly simple-minded systems over self-injective algebras. https://arxiv.org/abs/2606.21881

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