论文标题

减少支持$τ$ - 替代模块的降低定理。

Reduction theorem for support $τ$-tilting modules over group algebras

论文作者

Hiramae, Naoya

论文摘要

在研究组代数或其块模块类别的派生类别的结构时,对支持$τ$的模块进行分类至关重要。 Koshio和Kozakai表明,在适当的条件下,可以将支撑$τ$施用模块的结构减少到其亚组的结构。我们表明,在适当条件下,“减少商”也有效。

In studying the structure of derived categories of module categories of group algebras or their blocks, it is fundamental to classify support $τ$-tilting modules. Koshio and Kozakai showed that the structure of support $τ$-tilting modules over blocks of finite groups can be reduced to that of their subgroups under suitable conditions. We show that the 'quotient reduction' is also valid under suitable conditions.

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