Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1991_36_1_a1,
author = {A. E. Zalesskii},
title = {A fragment of the decomposition matrix of the special unitary group over a finite field},
journal = {Izvestiya. Mathematics },
pages = {23--39},
publisher = {mathdoc},
volume = {36},
number = {1},
year = {1991},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_1_a1/}
}
A. E. Zalesskii. A fragment of the decomposition matrix of the special unitary group over a finite field. Izvestiya. Mathematics , Tome 36 (1991) no. 1, pp. 23-39. http://geodesic.mathdoc.fr/item/IM2_1991_36_1_a1/
[1] Bolt B., Room T. O., Wall G. E., “On the Clifford collineation, transform and semilarity groups. I”, J. Austral. Math. Soc., 2 (1960), 60–96 | DOI | MR
[2] Burkhart R., “Die Zerlegungsmatrizen der Gruppen $\operatorname{PSL}(2,p^j)$”, J. Algebra, 40 (1976), 75–96 | DOI | MR
[3] Gerardin P., “Weil representations associated to finite fields”, J. Algebra, 46 (1977), 54–101 | DOI | MR | Zbl
[4] Howe R. E., “On the character of Weil's representation”, Trans. Amer. Math. Soc., 177 (1973), 287–298 | DOI | MR | Zbl
[5] Howe R. E., Invariant theory and duality for classical groups over finite fields, with application to their singular representation theory, New York Univ. Stony Brook, 1976, Preprint | MR
[6] Humpreys I. E., “Cartan invariants and decomposition numbers of Chevalley groups”, The Santa Cruz conf. on finite groups, Proc. Symp. Pure Math., 37, Providence, 1980, 347–351 | MR
[7] Humpreys J. E., “Ordinary and modular characters of $\operatorname{SL}(3,p)$”, J. Algebra, 72 (1981), 8–16 | DOI | MR
[8] Humpreys J. E., Ordinary and modular characters of $\operatorname{SU}(3,p)$, Univ. of Massachusets Amherst, 1988, Preprint
[9] Jantzen J. C., “Zur Reduction modulo $p$ der Charactere von Deligne und Lustig”, J. Algebra, 70 (1981), 452–474 | DOI | MR | Zbl
[10] Seitz G. M., “Some representations of classical groups”, J. London Math. Soc., 10:1 (1975), 115–120 | DOI | MR | Zbl
[11] Shinoda K. I., “The characters of Weil representations associated to finite fields”, J. Algebra, 66 (1980), 251–280 | DOI | MR | Zbl
[12] Shult E., “On groups admitting fixed points free abelian operator groups”, Illinois J. Math., 9 (1965), 701–720 | MR | Zbl
[13] Srinivasan B., “On the modular characters of the special linear group $\operatorname{SL}(2,p^n)$”, Proc. London Math. Soc., 14 (1964), 101–104 | DOI | MR
[14] Ward H. N., “Representations of symplectic groups”, J. Algebra, 20:1 (1972), 182–195 | DOI | MR | Zbl
[15] Weil A., “Sur certains groupes d'operateurs unitaires”, Acta Math., 111:1–4 (1964), 143–211 | DOI | MR | Zbl
[16] Burbaki N., Gruppy i algebry Li, Mir, M., 1978 | MR
[17] Dedonne Zh., Geometriya klassicheskikh grupp, Mir, M., 1974 | MR
[18] Zalesskii A. E., Suprunenko I. D., “Predstavleniya razmernosti $(p_n\mp1)/2$ simplekticheskoi gruppy stepeni $2n$ nad konechnym tyulem”, Vestsi AN BSSR. Ser. fiz.-matem., 1987, no. 6, 9–15 | MR | Zbl
[19] Zalesskii A. E., Suprunenko I. D., Modulyarnye podstanovochnye predstavleniya i fragment matritsy razlozheniya dlya simplekticheskoi i spetsialnoi lineinoi gruppy nad konechnym polem, Preprint, no. 2(312), In-t matematiki AN BSSR, Minsk, 1987
[20] Kertis Ch., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Mir, M., 1969 | MR
[21] Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975 | MR | Zbl