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Cluster subalgebras cotorsion pairs in Frobenius extriangulated categories
编辑:林煜发布时间:2019年03月29日

Speaker:Bin Zhu(Tsinghua University

Time:2019-03-29,13:30

Location:Conference Room 105 at Experiment Building at Haiyun Campus

Abstract: Nakaoka Palu introduced the notion of extriangulated categories by extracting the similarities between exact categories triangulated categories. In this paper, we study cotorsion pairs in a Frobenius extriangulated category C. Especially, for a 2-Calabi-Yau extriangulated category C with a cluster structure, we describe the cluster substructure in the cotorsion pairs. For rooted cluster algebras arising from C with cluster tilting objects, we give a one-to-one correspondence between cotorsion pairs in C certain pairs of their rooted cluster subalgebras which we call complete pairs. Finally, we explain this correspondence by an example relating to a Grassmannian cluster algebra.


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