On selfinjective algebras of stable dimension zero
classification
🧮 math.RT
math.RA
keywords
dimensionstableselfinjectivealgebraalgebraicallyalgebrascategoryclosed
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Let $A$ be a selfinjective algebra over an algebraically closed field. We study the stable dimension of $A$, which is the dimension of the stable module category of $A$ in the sense of Rouquier. Then we prove that $A$ is representation-finite if the stable dimension of $A$ is $0$.
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