Weighted partially orderd sets of finite type
We define representations of weighted posets and construct for them reflection functors. Using this technique we prove that a weighted poset is of finite representation type if and only if its Tits form is weakly positive; then indecomposable representations are in one-to-one correspondence with the...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/887 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543322525401088 |
|---|---|
| author | Drozd-Koroleva, Olena |
| author_facet | Drozd-Koroleva, Olena |
| author_sort | Drozd-Koroleva, Olena |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T07:47:40Z |
| description | We define representations of weighted posets and construct for them reflection functors. Using this technique we prove that a weighted poset is of finite representation type if and only if its Tits form is weakly positive; then indecomposable representations are in one-to-one correspondence with the positive roots of the Tits form. |
| first_indexed | 2025-12-02T15:28:29Z |
| format | Article |
| id | admjournalluguniveduua-article-887 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:28:29Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8872018-03-21T07:47:40Z Weighted partially orderd sets of finite type Drozd-Koroleva, Olena weighted partially ordered sets, finite representation type, reflection functors, Tits form 16G20, 16G60 We define representations of weighted posets and construct for them reflection functors. Using this technique we prove that a weighted poset is of finite representation type if and only if its Tits form is weakly positive; then indecomposable representations are in one-to-one correspondence with the positive roots of the Tits form. 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/887 Algebra and Discrete Mathematics; Vol 5, No 2 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/887/416 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | weighted partially ordered sets finite representation type reflection functors Tits form 16G20 16G60 Drozd-Koroleva, Olena Weighted partially orderd sets of finite type |
| title | Weighted partially orderd sets of finite type |
| title_full | Weighted partially orderd sets of finite type |
| title_fullStr | Weighted partially orderd sets of finite type |
| title_full_unstemmed | Weighted partially orderd sets of finite type |
| title_short | Weighted partially orderd sets of finite type |
| title_sort | weighted partially orderd sets of finite type |
| topic | weighted partially ordered sets finite representation type reflection functors Tits form 16G20 16G60 |
| topic_facet | weighted partially ordered sets finite representation type reflection functors Tits form 16G20 16G60 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/887 |
| work_keys_str_mv | AT drozdkorolevaolena weightedpartiallyorderdsetsoffinitetype |