Gentle \(m\)-Calabi-Yau tilted algebras

• Date: 2020
• Main Author: Garcia Elsener, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: 2-Calabi-Yau tilted algebras; Jacobian algebras; Gentle algebras; derived category; Cohen-Macaulay modules; cluster-tilted algebras; 16G20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1423
• Journal Title: Algebra and Discrete Mathematics

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...