Relative projectivity and the Green correspondence for complexes
Relative projectivity and the Green correspondence for complexes
复制标题
配合物的相对射影率和格林对应
DOI：
10.1016/j.jalgebra.2020.05.029
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发表时间：
2020
影响因子：
0.9
通讯作者：
Jiping Zhang
中科院分区：
文献类型：
--
作者：
Jon F. Carlson;Lizhong Wang;Jiping Zhang
我们研究了一类复体的格林对应，包括同伦范畴和派生范畴。对应关系是定义在有限群上的范畴与定义在有限群上的子群之间的等价关系，通常是g的ap-子群的归一化。本文给出了判断模块或复合体类别是否具有Green对应关系的基本公式，并将其应用于实例。在一些情况下，等价是三角化范畴的等价，在特殊情况下，它是张量三角化范畴的等价。
We investigate a version of the Green correspondence for categories of complexes, including homotopy categories and derived categories. The correspondence is an equivalence between a category defined over a finite groupGand the same for a subgroupH, often the normalizer of ap-subgroup ofG. We present a basic formula for deciding when categories of modules or complexes have a Green correspondence and apply it to many examples. In several cases the equivalence is an equivalence of triangulated categories, and in special cases it is an equivalence of tensor triangulated categories.