On Splendid Derived and Stable Equivalences Between Blocks of Finite Groups
On Splendid Derived and Stable Equivalences Between Blocks of Finite Groups
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论有限群块之间的出色导出和稳定等价
DOI：
10.1006/jabr.2001.8812
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发表时间：
2001
影响因子：
0.9
通讯作者：
M. Linckelmann
中科院分区：
文献类型：
--
作者：
M. Linckelmann
有限群 G 的 p 块是一个带有一些不变量的代数，这些不变量不能先验地从块代数的模类别中读出。这些不变量（例如缺陷群、p-局部结构或广义分解数）是由于群 G 的存在而引起的。因此，我们对 Morita 等价、块代数之间的导出或稳定等价感兴趣，它们保留了上述不变量。
A p-block of a finite group G is an algebra coming along with some invariants which cannot, a priori, be read off the module category of the block algebra. These invariants—such as defect groups, the p-local structure, or generalized decomposition numbers—are due to the presence of the group G. We are therefore interested in the Morita equivalences, derived or stable equivalences between block algebras, which preserve the above invariants.