Maximal finite semibricks consist only of open bricks
Abstract
A semibrick is a set of modules satisfying Schur's Lemma, and it is said to be maximal if it is not properly contained in another semibrick. For any finite dimensional algebra over an algebracally closed field K, we prove that any maximal finite semibrick S consists only of open bricks B, that is, bricks whose orbit closures OB are irreducible components in the representation schemes.
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