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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 1, Pages 16–19
(Mi adm430)
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RESEARCH ARTICLE
On modular representations of semigroups $S_p\times T_p$
V. M. Bondarenkoa, E. M. Kostyshynb a Institute of Mathematics, NAS, Kyiv, Ukraine
b Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine
Abstract:
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 $p=2$.
Keywords:
matrix, wild, transformation, symmetric semigroup, modular representations.
Received: 17.07.2013 Revised: 17.07.2013
Citation:
V. M. Bondarenko, E. M. Kostyshyn, “On modular representations of semigroups $S_p\times T_p$”, Algebra Discrete Math., 16:1 (2013), 16–19
Linking options:
https://www.mathnet.ru/eng/adm430 https://www.mathnet.ru/eng/adm/v16/i1/p16
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