Radical layers of representable functors, revisited
Ponente: Osamu Iyama
Institución: Nagoya University
Tipo de Evento: Investigación
Institución: Nagoya University
Tipo de Evento: Investigación
Cuándo |
09/09/2019 de 16:30 a 18:00 |
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Dónde | Salón 1 de seminarios |
Agregar evento al calendario |
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The radical layers Theorem was given in a series of two papers of Igusa and Todorov in 1984. This is a very important result which enables us to retrieve various information of the module category from its Auslander-Reiten quiver. It was applied by the authors to give a combinatorial characterization of finite translation quivers which can be realized as Auslander-Reiten quivers. This is a far reaching generalization of Riedtmann’s work for selfinjective algebras using Hom-configurations. In this talk, I will revisit the radical layers Theorem, and explain its applications and also a simple proof which works in a more general setting including triangulated categories.