Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3

• Date: 2018
• Main Authors: Bialkowski, Jerzy, Skowronski, Andrzej
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: triangulated category; Calabi-Yau category; preprojective algebra; 16D50; 16G60; 18G10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855
• Journal Title: Algebra and Discrete Mathematics

We prove that there exist nonstandard \(K\)-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field \(K\) of characteristic \(3\), using deformed preprojective algebras of generalized Dynkin type.