Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TIMB_2011_19_2_a1, author = {M. V. Velichko}, title = {The {Jordan} block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$}, journal = {Trudy Instituta matematiki}, pages = {7--11}, publisher = {mathdoc}, volume = {19}, number = {2}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/} }
TY - JOUR AU - M. V. Velichko TI - The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$ JO - Trudy Instituta matematiki PY - 2011 SP - 7 EP - 11 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/ LA - ru ID - TIMB_2011_19_2_a1 ER -
%0 Journal Article %A M. V. Velichko %T The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$ %J Trudy Instituta matematiki %D 2011 %P 7-11 %V 19 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/ %G ru %F TIMB_2011_19_2_a1
M. V. Velichko. The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 7-11. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/
[1] Burbaki N., Gruppy i algebry Li, M., 1972
[2] 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
[3] Seitz G.M., “The maximal subgroups of classical algebraic groups”, Memoirs of the AMS, 67:365 (1987), 1–286 | MR
[4] Smith S., “Irreducible modules and parabolic subgroups”, J. Algebra, 75 (1982), 286–289 | DOI | MR | Zbl
[5] Jantzen J.C., Representations of Algebraic Groups, Academic Press, 1987 | MR | Zbl
[6] Braden B., “Restricted representations of classical Lie algebras of type $A_2$ and $B_2$”, Bull. Amer. Math. Soc., 73 (1967), 482–486 | DOI | MR | Zbl
[7] Jantzen J.C., “Darstellungen halbeinfacher Gruppen und kontravariante Formen”, J. reine angew. Math., 290 (1977), 117–141 | DOI | MR | Zbl
[8] Osinovskaya A.A., “Restrictions of representations of algebraic groups of types $E_n$ and $F_4$ to naturally embedded $A_1$-subgroups and the behavior of root elements”, Comm. in Algebra, 33 (2005), 213–220 | DOI | MR | Zbl
[9] Feit U., Teoriya predstavlenii konechnykh grupp, M., 1990 | MR
[10] Velichko M.V., “O povedenii kornevykh elementov v modulyarnykh predstavleniyakh simplekticheskikh grupp”, Tr. In-ta matematiki NAN Belarusi, 14:2 (2006), 28–34
[11] Velichko M.V., “On the behaviour of root elements in irreducible representations of simple algebraic groups”, Tr. In-ta matematiki NAN Belarusi, 13:2 (2005), 116–121