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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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-8552018-03-21T12:28:31Z Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Bialkowski, Jerzy Skowronski, Andrzej triangulated category, Calabi-Yau category, preprojective algebra 16D50, 16G60, 18G10 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855/385 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-03-21T12:28:31Z |
| collection |
OJS |
| language |
English |
| topic |
triangulated category Calabi-Yau category preprojective algebra 16D50 16G60 18G10 |
| spellingShingle |
triangulated category Calabi-Yau category preprojective algebra 16D50 16G60 18G10 Bialkowski, Jerzy Skowronski, Andrzej Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| topic_facet |
triangulated category Calabi-Yau category preprojective algebra 16D50 16G60 18G10 |
| format |
Article |
| author |
Bialkowski, Jerzy Skowronski, Andrzej |
| author_facet |
Bialkowski, Jerzy Skowronski, Andrzej |
| author_sort |
Bialkowski, Jerzy |
| title |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_short |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_fullStr |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full_unstemmed |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_sort |
nonstandard additively finite triangulated categories of calabi-yau dimension one in characteristic 3 |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855 |
| work_keys_str_mv |
AT bialkowskijerzy nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 AT skowronskiandrzej nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 |
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2025-12-02T15:28:14Z |
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2025-12-02T15:28:14Z |
| _version_ |
1850410841600425984 |