Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains
We study the problem of classifying the pairs of matrices over an algebraically closed field with some restrictions on their Jordan canonical forms using earlier results of the first author. All tame and wild, polynomial and non-polynomial growth cases are described.
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2165 |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-2165 |
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oai:ojs.admjournal.luguniv.edu.ua:article-21652023-12-11T16:21:07Z Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains Bondarenko, V. M. Zubaruk, O. V. Jordan type, completed poset, bundle of semichains, representation, tame and wild, polynomial and non-polynomial growth 15A21, 15A30 We study the problem of classifying the pairs of matrices over an algebraically closed field with some restrictions on their Jordan canonical forms using earlier results of the first author. All tame and wild, polynomial and non-polynomial growth cases are described. Lugansk National Taras Shevchenko University 2023-12-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2165 10.12958/adm2165 Algebra and Discrete Mathematics; Vol 36, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2165/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2165/1126 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Jordan type completed poset bundle of semichains representation tame and wild polynomial and non-polynomial growth 15A21 15A30 |
| spellingShingle |
Jordan type completed poset bundle of semichains representation tame and wild polynomial and non-polynomial growth 15A21 15A30 Bondarenko, V. M. Zubaruk, O. V. Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| topic_facet |
Jordan type completed poset bundle of semichains representation tame and wild polynomial and non-polynomial growth 15A21 15A30 |
| format |
Article |
| author |
Bondarenko, V. M. Zubaruk, O. V. |
| author_facet |
Bondarenko, V. M. Zubaruk, O. V. |
| author_sort |
Bondarenko, V. M. |
| title |
Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| title_short |
Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| title_full |
Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| title_fullStr |
Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| title_full_unstemmed |
Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains |
| title_sort |
classification of the pairs of matrices of fixed jordan types and representations of bundles of semichains |
| description |
We study the problem of classifying the pairs of matrices over an algebraically closed field with some restrictions on their Jordan canonical forms using earlier results of the first author. All tame and wild, polynomial and non-polynomial growth cases are described. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2165 |
| work_keys_str_mv |
AT bondarenkovm classificationofthepairsofmatricesoffixedjordantypesandrepresentationsofbundlesofsemichains AT zubarukov classificationofthepairsofmatricesoffixedjordantypesandrepresentationsofbundlesofsemichains |
| first_indexed |
2024-04-12T06:13:57Z |
| last_indexed |
2024-04-12T06:13:57Z |
| _version_ |
1804810508938772480 |