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

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Bialkowski, J., Skowronski, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152362
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ.

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.