| Title:
|
The duality of Auslander-Reiten quiver of path algebras (English) |
| Author:
|
Hou, Bo |
| Author:
|
Yang, Shilin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
925-943 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $(\Gamma _{Q}, G)$. (English) |
| Keyword:
|
Auslander-Reiten quiver |
| Keyword:
|
generalized McKay quiver |
| Keyword:
|
duality |
| MSC:
|
16G10 |
| MSC:
|
16G20 |
| MSC:
|
16G70 |
| idZBL:
|
07144865 |
| idMR:
|
MR4039610 |
| DOI:
|
10.21136/CMJ.2019.0541-17 |
| . |
| Date available:
|
2019-11-28T08:46:32Z |
| Last updated:
|
2022-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147904 |
| . |
| Reference:
|
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