自内射代数的反射和挠理论
Reflections and torsion theories for selfinjective algebras
摘要:
我们从两项倾斜复形诱导的挠理论的角度引入了自内射代数的反射概念。作为应用,我们确定了与反射相关的Brauer树的变换。特别是,我们提供了一种方法,将每一个布劳尔树到布劳尔线。
英文摘要:
We introduce the notion of reflections for selfinjective algebras from the point of view of torsion theories induced by two-term tilting complexes. As an application, we determine the transformations of Brauer trees associated with reflections. In particular, we provide a way to transform every Brauer tree into a Brauer line.
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