The duality of Auslander-Reiten quiver of path algebras.
Autor: | Hou, Bo |
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Další autoři: | |
Jazyk: | angličtina |
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Druh dokumentu: | Non-fiction |
ISSN: | 0011-4642 |
Abstrakt: | Abstract: Let $Q$ be a finite union of Dynkin quivers, $G\subseteq{\rm Aut}(\Bbbk{Q})$ a finite abelian group, $\widehat{Q}$ the generalized McKay quiver of $(Q, G)$ and $\Gamma_Q$ the Auslander-Reiten quiver of $\Bbbk Q$. Then $G$ acts functorially on the quiver $\Gamma_Q$. We show that the Auslander-Reiten quiver of $\Bbbk\widehat{Q}$ coincides with the generalized McKay quiver of $(\Gamma_Q, G)$. |
Databáze: | Katalog Knihovny AV ČR |
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