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: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543320973508608 |
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| author | Bialkowski, Jerzy Skowronski, Andrzej |
| author_facet | Bialkowski, Jerzy Skowronski, Andrzej |
| author_sort | Bialkowski, Jerzy |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T12:28:31Z |
| 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. |
| first_indexed | 2025-12-02T15:28:14Z |
| format | Article |
| id | admjournalluguniveduua-article-855 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:28:14Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| 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 |
| title | 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_short | 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 |
| topic | triangulated category Calabi-Yau category preprojective algebra 16D50 16G60 18G10 |
| topic_facet | triangulated category Calabi-Yau category preprojective algebra 16D50 16G60 18G10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855 |
| work_keys_str_mv | AT bialkowskijerzy nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 AT skowronskiandrzej nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 |