Frontiers of Mathematics in China >
On duality preservability of Auslander-Reiten quivers of derived categories and cluster categories
Received date: 30 Nov 2015
Accepted date: 07 Mar 2016
Published date: 30 Aug 2016
Copyright
We give sufficient conditions and necessary conditions on duality preservability of Auslander-Reiten quivers of derived categories and cluster categories over hereditary algebras. Meantime, we characterize the condition of generalized path algebras as cleft extensions of path algebras.
Key words: Dual quiver; Auslander-Reiten quiver; derived category; cluster category
Fang LI , Lingyu WAN . On duality preservability of Auslander-Reiten quivers of derived categories and cluster categories[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 957 -984 . DOI: 10.1007/s11464-016-0559-2
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