Let F be an algebraically closed field, be a quiver of type An. In this paper we prove that the endomorphism algebras of exceptional sequences over F are sums of finitely many tilted algebras of type Am where m n b...Let F be an algebraically closed field, be a quiver of type An. In this paper we prove that the endomorphism algebras of exceptional sequences over F are sums of finitely many tilted algebras of type Am where m n by using perpendicular categories, and thus the endomorphism algebras of exceptional sequences of type An are representation-finite.展开更多
基金Supported by Chinese Postdoctorate FundBeijing Youth Fund
文摘Let F be an algebraically closed field, be a quiver of type An. In this paper we prove that the endomorphism algebras of exceptional sequences over F are sums of finitely many tilted algebras of type Am where m n by using perpendicular categories, and thus the endomorphism algebras of exceptional sequences of type An are representation-finite.
