Departmental Bulletin Paper Reflections and torsion theories for Selfinjectiv algebras
自己移入多元環の鏡映と捻れ理論

ABE, Hiroki

(138)  , pp.57 - 72 , 2016-02-24 , 東京経済大学人文自然科学研究会
ISSN:0495-8012
NCID:AN00159446
Description
We introduce the notion of reflections for selfinjective algebras from the pointof view of torsion theories induced by two-term tilting complexes. As an application,we determine the transformations of Brauer trees associated with reflections. Inparticular, we provide a way to transform every Brauer tree into a Brauer line.
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