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arXiv · 1005.4281

Reflections and torsion theories for selfinjective algebras

Hiroki Abe
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Abstract

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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Hiroki Abe. 2010-05-24. Reflections and torsion theories for selfinjective algebras. https://arxiv.org/abs/1005.4281

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