Spherical functions on a~finite affine space with a~series of Zelevinsky subgroups
Matematičeskie zametki, Tome 57 (1995) no. 3, pp. 434-444.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MZM_1995_57_3_a11,
     author = {E. E. Petrov},
     title = {Spherical functions on a~finite affine space with a~series of {Zelevinsky} subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {434--444},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_57_3_a11/}
}
TY  - JOUR
AU  - E. E. Petrov
TI  - Spherical functions on a~finite affine space with a~series of Zelevinsky subgroups
JO  - Matematičeskie zametki
PY  - 1995
SP  - 434
EP  - 444
VL  - 57
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1995_57_3_a11/
LA  - ru
ID  - MZM_1995_57_3_a11
ER  - 
%0 Journal Article
%A E. E. Petrov
%T Spherical functions on a~finite affine space with a~series of Zelevinsky subgroups
%J Matematičeskie zametki
%D 1995
%P 434-444
%V 57
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1995_57_3_a11/
%G ru
%F MZM_1995_57_3_a11
E. E. Petrov. Spherical functions on a~finite affine space with a~series of Zelevinsky subgroups. Matematičeskie zametki, Tome 57 (1995) no. 3, pp. 434-444. http://geodesic.mathdoc.fr/item/MZM_1995_57_3_a11/

[1] Zelevinsky A. V., Representations of finite classical groups. A Hopf algebra approach, Lecture Notes in Mathematics, 869, Springer, Berlin, 1981 | Zbl

[2] Kirillov A. A., “Vvedenie v teoriyu predstavlenii i nekommutativnyi garmonicheskii analiz”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 22, VINITI, M., 1988, 5–162

[3] Gelfand I. M., Minlos R. A., Shapiro Z. Ya., Predstavleniya gruppy vraschenii i gruppy Lorentsa, Fizmatgiz, M., 1950

[4] Petrov E. E., Sfericheskie funktsii na konechnom tsentroaffinnom prostranstve, Dep. v VINITI 10.04.87, No. 2303–B87, LGPI, Leningrad, 1987

[5] Serr Zh.-P., Lineinye predstavleniya konechnykh grupp, Mir, M., 1970 | Zbl

[6] Barut A., Ronchka R., Teoriya predstavlenii grupp i ee prilozheniya, T. 2, Mir, M., 1980

[7] Petrov E. E., “Garmoniki na konechnom proektivnom prostranstve”, Matem. zametki, 43:1 (1988), 31–37 | MR | Zbl