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

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2007
• Hauptverfasser: Bialkowski, J., Skowronski, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/152362
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.