Degeneration of A-infinity modules
classification
🧮 math.RT
keywords
modulesa-infinityvarietiescategoryderivedactionalgebraalgebraic
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In this paper we use A-infinity modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A-infinity modules. These varieties carry an action of an algebraic group such that orbits correspond to quasi-isomorphism classes of complexes in the derived category. We describe orbit closures in these varieties, generalising a result of Zwara and Riedtmann for modules.
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