Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3
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.
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152362 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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