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

• Date: 2018
• Main Authors: Bondarenko, Vitaliy M., Kostyshyn, Elina M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: matrix; wild; transformation; symmetric semigroup; modular representations; 16G; 20M30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/751
• Journal Title: Algebra and Discrete Mathematics

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...