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Algebra and Discrete Mathematics, 2007, Issue 3, Pages 27–37 (Mi adm218)  
RESEARCH ARTICLE

Nonstandard additively finite triangulated categories of Calab–Yau dimension one in characteristic 3

Jerzy Białkowski, Andrzej Skowronski

Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87–100 Toruń, Poland
Full-text PDF (226 kB)
Abstract: We prove that there exist nonstandard $K$-linear triangulated categories with finitely many indecomposable objects and Calab–Yau dimension one over an arbitrary algebraically closed field $K$ of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
Keywords: triangulated category, Calabi–Yau category, preprojective algebra.
Received: 31.05.2007
Revised: 01.02.2008
Bibliographic databases:
Document Type: Article
MSC: 16D50, 16G60, 18G10
Language: English
Citation: Jerzy Białkowski, Andrzej Skowronski, “Nonstandard additively finite triangulated categories of Calab–Yau dimension one in characteristic 3”, Algebra Discrete Math., 2007, no. 3, 27–37
Citation in format AMSBIB
\Bibitem{BiaSko07}
\by Jerzy~Bia\l kowski, Andrzej~Skowronski
\paper Nonstandard additively finite triangulated categories of Calab--Yau dimension one in characteristic~3
\jour Algebra Discrete Math.
\yr 2007
\issue 3
\pages 27--37
\mathnet{http://mi.mathnet.ru/adm218}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2421775}
\zmath{https://zbmath.org/?q=an:1164.16006}
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