On modular representations of semigroups \(S_p\times T_p\)

Let \(p\) be simple, and let \(S_p\) and \(T_p\) be the symmetric group and the symmetric semigroup of degree \(p\), respectively. The theorem of this paper says  that the direct product    \(S_p\times T_p\) are of wild representation type over any field of characteristic \(p\). The main case is \(p...

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Дата:2018
Автори: Bondarenko, Vitaliy M., Kostyshyn, Elina M.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
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Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/751
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7512018-04-26T01:26:05Z On modular representations of semigroups \(S_p\times T_p\) Bondarenko, Vitaliy M. Kostyshyn, Elina M. matrix, wild, transformation, symmetric semigroup, modular representations 16G, 20M30 Let \(p\) be simple, and let \(S_p\) and \(T_p\) be the symmetric group and the symmetric semigroup of degree \(p\), respectively. The theorem of this paper says  that the direct product    \(S_p\times T_p\) are of wild representation type over any field of characteristic \(p\). The main case is \(p=2\). Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/751 Algebra and Discrete Mathematics; Vol 16, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/751/280 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic matrix
wild
transformation
symmetric semigroup
modular representations
16G
20M30
spellingShingle matrix
wild
transformation
symmetric semigroup
modular representations
16G
20M30
Bondarenko, Vitaliy M.
Kostyshyn, Elina M.
On modular representations of semigroups \(S_p\times T_p\)
topic_facet matrix
wild
transformation
symmetric semigroup
modular representations
16G
20M30
format Article
author Bondarenko, Vitaliy M.
Kostyshyn, Elina M.
author_facet Bondarenko, Vitaliy M.
Kostyshyn, Elina M.
author_sort Bondarenko, Vitaliy M.
title On modular representations of semigroups \(S_p\times T_p\)
title_short On modular representations of semigroups \(S_p\times T_p\)
title_full On modular representations of semigroups \(S_p\times T_p\)
title_fullStr On modular representations of semigroups \(S_p\times T_p\)
title_full_unstemmed On modular representations of semigroups \(S_p\times T_p\)
title_sort on modular representations of semigroups \(s_p\times t_p\)
description Let \(p\) be simple, and let \(S_p\) and \(T_p\) be the symmetric group and the symmetric semigroup of degree \(p\), respectively. The theorem of this paper says  that the direct product    \(S_p\times T_p\) are of wild representation type over any field of characteristic \(p\). The main case is \(p=2\).
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/751
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