The duality of Auslander-Reiten quiver of path algebras.

Autor: Hou, Bo
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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