To the memory of Irina Dmitrievna Suprunenko

V. I. Yanchevskiǐ ; A. S. Kondrat'ev ; T. S. Busel ; A. A. Osinovskaya

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 29 (2023) no. 1, pp. 280-287

Résumé

The paper presents the research of Irina Dmitrievna Suprunenko, a prominent specialist in the representation theory of algebraic groups and finite groups of Lie type.

Détail

Keywords: Irina Dmitrievna Suprunenko, finite group of Lie type, representation.
Mots-clés : algebraic group

Bibliographie

[1] Suprunenko I.D., The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic, Ser. Memoirs Amer. Math. Soc., 200, no. 939, 2009, 154 pp. | DOI | MR

[2] Suprunenko I.D., “Irreducible representations of simple algebraic groups containing matrices with big Jordan blocks”, Proc. London Math. Soc., 71 (1995), 281–332 | DOI | MR | Zbl

[3] Suprunenko I.D., “The minimal polynomials of unipotent elements in irreducible representations of the special linear group”, Acta Appl. Math., 52:1-3 (1998), 325–330 | DOI | MR | Zbl

[4] Suprunenko I.D., “Raspoznavanie klassicheskikh algebraicheskikh grupp s pomoschyu matrits s bolshimi blokami Zhordana”, Dokl. NAN Belarusi, 45:4 (2001), 27–30 | MR | Zbl

[5] Suprunenko I.D., “Minimalnye polinomy elementov poryadka $p$ v neprivodimykh predstavleniyakh grupp Shevalle nad polyami kharakteristiki $p$”, Tr. In-ta matematiki SO RAN, 30 (1996), 126–163 | Zbl

[6] Suprunenko I.D., “Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks”, Zapiski nauchnykh seminarov POMI, 414, 2013, 193–241 | DOI | MR

[7] Busel T.S., Suprunenko I.D., Testerman D., “The minimal polynomials of unipotent elements of non-prime order in irreducible representations of the exceptional algebraic groups in some good characteristics”, Dokl. NAN Belarusi, 63:5 (2019), 519–525 | DOI | MR

[8] Suprunenko I.D., “The minimal polynomials of the images of unipotent elements of nonprime order in irreducible representations of an algebraic group of type $F_4$ in an odd characteristic”, Dokl. NAN Belarusi, 66:3 (2022), 269–273 | MR

[9] Velichko M.V., Suprunenko I.D., “Malye unipotentnye elementy v predstavleniyakh spetsialnoi lineinoi gruppy s bolshimi starshimi vesami”, Zapiski nauchnykh seminarov POMI, 343, 2007, 84–120 | DOI

[10] Osinovskaya A.A., Suprunenko I.D., “On the Jordan block structure of images of some unipotent elements in modular irreducible representations of the classical algebraic groups”, J. Algebra, 273 (2004), 586–600 | DOI | MR | Zbl

[11] Osinovskaya A.A., Suprunenko I.D., “Blochnaya struktura unipotentnykh elementov iz estestvenno vlozhennykh podgrupp tipa $A_3$ v spetsialnykh modulyarnykh predstavleniyakh grupp tipa $A_n$”, Dokl. NAN Belarusi, 51:6 (2007), 25–29 | MR

[12] Osinovskaya A.A., Suprunenko I.D., “Unipotentnye elementy iz podsistemnykh podgrupp tipa $A_3$ v predstavleniyakh spetsialnoi lineinoi gruppy”, Dokl. NAN Belarusi, 56:4 (2012), 11–15 | MR | Zbl

[13] Busel T.S., Suprunenko I.D., “Blochnaya struktura obrazov regulyarnykh unipotentnykh elementov iz podsistemnykh simplekticheskikh podgrupp ranga 2 v neprivodimykh predstavleniyakh simplekticheskikh grupp. I”, Matematicheskie trudy, 22:1 (2019), 68–100 ; “Блочная структура образов регулярных унипотентных элементов из подсистемных симплектических подгрупп ранга 2 в неприводимых представлениях симплектических групп. II”, Математические труды, 23:1 (2020), 37–106 ; “Блочная структура образов регулярных унипотентных элементов из подсистемных симплектических подгрупп ранга 2 в неприводимых представлениях симплектических групп. III”, Математические труды, 23:2 (2020), 70–99 | DOI | MR | Zbl | DOI | Zbl | DOI | MR | Zbl

[14] Suprunenko I.D., “O blochnoi strukture regulyarnykh unipotentnykh elementov iz podsistemnykh podgrupp tipa $A_1\times A_2$ v predstavleniyakh spetsialnoi lineinoi gruppy”, Zapiski nauch. seminarov POMI, 388, 2011, 247–269 | DOI

[15] Suprunenko I.D., “Podgruppy $GL(n, p^{m})$, soderzhaschie $SL(2,p)$ v neprivodimom predstavlenii stepeni $n$”, Izv. AN BSSR, ser. fiz.-mat. nauk, 1979, no. 1, 18–24 | MR | Zbl

[16] Suprunenko I.D., “Podgruppy $GL(n, p^{m})$, soderzhaschie $SL(2,p)$ v neprivodimom predstavlenii stepeni $n$”, Izv. AN BSSR, ser. fiz.-mat. nauk, 1979, no. 2, 11–16 | MR | Zbl

[17] Suprunenko I.D., “Sokhranenie sistem vesov neprivodimykh predstavlenii algebraicheskoi gruppy i algebry Li tipa $A_l$ s ogranichennymi vesami pri reduktsii po modulyu $p$”, Izv. AN BSSR. Cer. fiz.-mat. nauk, 1983, no. 2, 18–22 | MR | Zbl

[18] Zalesskii A.E., Suprunenko I.D., “Srezannye simmetricheskie stepeni estestvennykh realizatsii grupp $SL_m (P)$ i $Sp_m (P)$ i ikh ogranicheniya na podgruppy”, Sib. mat. zhurn., 31:4 (1990), 33–46 | DOI | MR | Zbl

[19] Brundan J., Kleshchev A.S., Suprunenko I.D., “Semisimple restrictions from $GL(n)$ to $GL(n-1)$”, J. für die Reine und Ungew. Math., 1998:500 (1998), 83–112 | DOI | MR | Zbl

[20] Suprunenko I.D., Zalesskii A.E., “On restricting representations of simple algebraic groups to semisimple subgroups with two simple components”, Tr. In-ta matematiki, 13:2 (2005), 109–115

[21] Suprunenko I.D., “Special composition factors in restrictions of representations of special linear and symplectic groups to subsystem subgroups with two simple components”, Tr. In-ta matematiki, 26:1 (2018), 115–133 | MR

[22] Baranov A.A., Suprunenko I.D., “Branching rules for modular fundamental representations of symplectic groups”, Bull. London Math. Soc., 32:4 (2000), 409–420 | DOI | MR | Zbl

[23] Baranov A.A., Osinovskaya A.A., Suprunenko I.D., “Modular representations of the special linear groups with small weight multiplicities”, J. Algebra, 397 (2014), 225–251 | DOI | MR | Zbl

[24] Osinovskaya A.A., Suprunenko I.D., “Inductive systems of representations with small highest weights for natural embeddings of symplectic groups”, Tr. In-ta matematiki, 22:2 (2014), 109–118 | Zbl

[25] Osinovskaya A.A., Suprunenko I.D., “Stabilizers and orbits of first level vectors in modules for the special linear groups”, J. Group Theory, 16 (2013), 719–743 | DOI | MR | Zbl

[26] Kondratev A.S., Osinovskaya A.A., Suprunenko I.D., “O povedenii elementov prostogo poryadka iz tsikla Zingera v predstavleniyakh spetsialnoi lineinoi gruppy”, Tr. In-ta matematiki i mekhaniki UrO RAN, 19:3 (2013), 179–186

[27] Kondratev A.S., Suprunenko I.D., Khramtsov I.V., “O konechnykh 4-primarnykh gruppakh s nesvyaznym grafom Gryunberga—Kegelya i kompozitsionnym faktorom, izomorfnym $L_3(17)$ ili $Sp_4(4)$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 28:1 (2022), 139–155 | DOI | MR