Exceptional cycles in triangular matrix algebras
Exceptional cycles in triangular matrix algebras
复制标题
三角矩阵代数中的异常循环
DOI：
10.1016/j.jalgebra.2023.07.032
复制
发表时间：
2022
影响因子：
0.9
通讯作者：
Peng Guo
中科院分区：
文献类型：
--
作者：
Peng Guo
An exceptional cycle in a triangulated category with Serre functor is a generalization of a spherical object. Suppose that A and B are Gorenstein algebras, given a perfect exceptional n-cycle E⁎ in K b (A-proj) and a perfect exceptional m-cycle F⁎ in K b (B-proj), we construct an A-B-bimodule N, and prove the product E⁎⊠ F⁎ is an exceptional (n+ m− 1)-cycle in K b (Λ-proj), where Λ=(A N 0 B). Using this construction, one gets many new exceptional cycles which is unknown before for certain class of algebras.
影响因子：
0.8
作者：
Nathan Broomhead;David Pauksztello;D. Ploog
通讯作者：
Nathan Broomhead;David Pauksztello;D. Ploog