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math.RT2026
A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
Zhen Zhang
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 presen…
math.RT2026
A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
Zhen Zhang
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 objec…
math.RT2026
On reduction and gluing technique of simple-minded systems over self-injective algebras
Zhen Zhang
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…