A construction of dual box
Let \({\mathtt R}\) be a quasi-hereditary algebra, \({\mathscr F} (\Delta)\) and \({\mathscr F}(\nabla)\) its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes \({\mathscr A}={\mathscr A}_{\Delta}\)...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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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/890 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543172117659648 |
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| author | Ovsienko, Serge |
| author_facet | Ovsienko, Serge |
| author_sort | Ovsienko, Serge |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T07:47:47Z |
| description | Let \({\mathtt R}\) be a quasi-hereditary algebra, \({\mathscr F} (\Delta)\) and \({\mathscr F}(\nabla)\) its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes \({\mathscr A}={\mathscr A}_{\Delta}\) and \({\mathscr A}_{\nabla}\). These last are the box theory counterparts of Ringel duality ([8]). We present an implicit construction of the box \({\mathscr B}\) such that \({\mathscr B}-{\mathrm{mo\,}}\) is equivalent to \({\mathscr F}(\nabla)\). |
| first_indexed | 2026-02-08T07:58:09Z |
| format | Article |
| id | admjournalluguniveduua-article-890 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:09Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8902018-03-21T07:47:47Z A construction of dual box Ovsienko, Serge box, derived category, differential graded category 16E30,16E35 Let \({\mathtt R}\) be a quasi-hereditary algebra, \({\mathscr F} (\Delta)\) and \({\mathscr F}(\nabla)\) its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes \({\mathscr A}={\mathscr A}_{\Delta}\) and \({\mathscr A}_{\nabla}\). These last are the box theory counterparts of Ringel duality ([8]). We present an implicit construction of the box \({\mathscr B}\) such that \({\mathscr B}-{\mathrm{mo\,}}\) is equivalent to \({\mathscr F}(\nabla)\). 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/890 Algebra and Discrete Mathematics; Vol 5, No 2 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/890/419 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | box derived category differential graded category 16E30,16E35 Ovsienko, Serge A construction of dual box |
| title | A construction of dual box |
| title_full | A construction of dual box |
| title_fullStr | A construction of dual box |
| title_full_unstemmed | A construction of dual box |
| title_short | A construction of dual box |
| title_sort | construction of dual box |
| topic | box derived category differential graded category 16E30,16E35 |
| topic_facet | box derived category differential graded category 16E30,16E35 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/890 |
| work_keys_str_mv | AT ovsienkoserge aconstructionofdualbox AT ovsienkoserge constructionofdualbox |