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On modular representations of semigroups $S_p\times T_p$
Algebra and discrete mathematics, Tome 16 (2013) no. 1, pp. 16-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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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: wild, symmetric semigroup, modular representations.
Mots-clés : matrix, transformation 
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V. M. Bondarenko; E. M. Kostyshyn. On modular representations of semigroups $S_p\times T_p$. Algebra and discrete mathematics, Tome 16 (2013) no. 1, pp. 16-19. http://geodesic.mathdoc.fr/item/ADM_2013_16_1_a2/

[1] Yu. A. Drozd, “Tame and wild matrix problems”, Lecture Notes in Math., 832, 1980, 242–258 | DOI | MR | Zbl

[2] J. Soviet Math., 20 (1982), 2515–2528 | DOI | MR | Zbl

[3] Math. USSR-Izv., 7 (1973), 749–792 | DOI | MR | Zbl

[4] P. Donovan, M.-R. Freislich, The representation theory of finite graphs and associated algebras, Carleton Math. Lecture Notes, 5, Carleton University, Ottawa, Ont., 1973, 83 pp. | MR | Zbl

[5] V. M. Bondarenko, E. M. Kostyshyn, “Modular representations of the semigroup $T_2$”, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform., 22 (2011), 26–34 (in Ukrainian) | Zbl