On reduction and gluing technique of simple-minded systems over self-injective algebras

Zhen Zhang

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arXiv · 2606.16081

On reduction and gluing technique of 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 reduction of simple-minded systems over stable module category A-stmod. We present a recollement and study gluing technique of simple-minded systems through a subset of a simple-minded system in A-stmod. As a byproduct, we also study the extendible property of simple-minded systems.

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Zhen Zhang. 2026-06-15. On reduction and gluing technique of simple-minded systems over self-injective algebras. https://arxiv.org/abs/2606.16081

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