Gentle \(m\)-Calabi-Yau tilted algebras
We prove that all gentle 2-Calabi-Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the \(m\)-cluster-tilted algebras of type \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\), we prove that a module \(M\) is stable Cohen-Macaula...
Saved in:
| Date: | 2020 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2020
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | We prove that all gentle 2-Calabi-Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the \(m\)-cluster-tilted algebras of type \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\), we prove that a module \(M\) is stable Cohen-Macaulay if and only if \(\Omega^{m+1} \tau M \simeq M\). |
|---|