Abstract
LetF be an algebraically closed field,\(\bar \Delta \) be a quiver of typeA n . In this paper we prove that the endomorphism algebras of exceptional sequences over\(F\bar \Delta \) are sums of finitely many tilted algebras of typeA m wherem≤n by using perpendicular categories, and thus the endomorphism algebras of exceptional sequences of typeA n are representation-finite.
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