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arXiv · 2606.16085

A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case

Zhen Zhang
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Abstract

Let A be a 1-domestic Brauer graph algebra. By covering theory and the characterization of simple-minded systems of 2-domestic Brauer graph algebras, we construct a family of objects in A-stmod to be a simple-minded system and our construction provides all simple-minded systems in A-stmod.

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Zhen Zhang. 2026-06-15. A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case. https://arxiv.org/abs/2606.16085

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