摘要

<正>Exceptional Cycles in the Bounded Derived Categories of Quivers Peng GUO Pu ZHANG Abstract An exceptional n-cycle in a Hom-finite triangulated category with Serre functor has been recently introduced by Broomhead,Pauksztello and Ploog.When n=1,it is a spherical object.We explicitly determine all the exceptional cycles in the bounded derived category Db(kQ) of a finite quiver Q without oriented cycles.In particular,if Q is an Euclidean