Groupes réductifs non connexes

François Digne; Jean Michel

Annales scientifiques de l'École Normale Supérieure (1994)

  • Volume: 27, Issue: 3, page 345-406
  • ISSN: 0012-9593

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Digne, François, and Michel, Jean. "Groupes réductifs non connexes." Annales scientifiques de l'École Normale Supérieure 27.3 (1994): 345-406. <http://eudml.org/doc/82365>.

@article{Digne1994,
author = {Digne, François, Michel, Jean},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {non-connected reductive algebraic groups; finite fields; Frobenius maps; Deligne-Lusztig theory; complex characters},
language = {fre},
number = {3},
pages = {345-406},
publisher = {Elsevier},
title = {Groupes réductifs non connexes},
url = {http://eudml.org/doc/82365},
volume = {27},
year = {1994},
}

TY - JOUR
AU - Digne, François
AU - Michel, Jean
TI - Groupes réductifs non connexes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1994
PB - Elsevier
VL - 27
IS - 3
SP - 345
EP - 406
LA - fre
KW - non-connected reductive algebraic groups; finite fields; Frobenius maps; Deligne-Lusztig theory; complex characters
UR - http://eudml.org/doc/82365
ER -

References

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  1. [1] T. ASAI, The unipotent class functions of exceptional groups over finite fields (Comm. in Algebra, Vol. 22, n° 12, 1984, pp. 2729-2857). Zbl0547.20037MR86a:20046
  2. [2] M. BROUÉ, G. MALLE et J. MICHEL, Generic blocks of finite reductive groups (Astérisque, Vol. 212, 1993, pp. 7-92). Zbl0843.20012MR95d:20072
  3. [3] P. DELIGNE et G. LUSZTIG, Representations of reductive groups over finite fields (Annals of Mathematics, n° 103, 1976, pp. 103-161). Zbl0336.20029MR52 #14076
  4. [4] F. DIGNE, Shintani-Descent and L Functions on Deligne-Lusztig Varieties (Proceedings of Symposia in Pure Mathematics, Vol. 47, part 1, pp. 61-68). Zbl0657.20036MR89b:20083
  5. [5] F. DIGNE et J. MICHEL, Fonctions L des variétés de Deligne-Lusztig et descente de Shintani (Mémoires de la Société Mathématique de France, n° 20, 1985). Zbl0608.20027MR87h:20071
  6. [6] F. DIGNE et J. MICHEL, Representation of finite groups of Lie type (London Math. Soc. Student Texts, n° 21, Cambridge University Press, 1991). Zbl0815.20014MR92g:20063
  7. [7] F. DIGNE et J. MICHEL, Lusztig Functor and Shintani Descent (Rapports de Recherche du L.M.E.N.S., n° 2, Publications du D.M.I., E.N.S., Paris, 1989). 
  8. [8] J. E. HUMPHREYS, Linear algebraic groups (Graduate Texts in Mathematics, n° 21, Springer 1975). Zbl0325.20039MR53 #633
  9. [9] G. LUSZTIG, Characters of reductive groups over a finite field (Annals of math. studies, n° 107, Princeton University Press, 1984). Zbl0556.20033MR86j:20038
  10. [10] G. MALLE, Generalized Deligne-Lusztig characters (Journal of Algebra, Vol. 159, n° 1, 1993, pp. 64-97). Zbl0812.20024MR94i:20025
  11. [11] T. SHOJI, Shintani descent for exceptional groups over a finite field (J. Fac. Sci. Uni. Tokyo Sect. 1A, n° 34, 1987, pp. 599-653). Zbl0643.20019MR88m:20086
  12. [12] N. SPALTENSTEIN, Classes unipotentes et sous-groupes de Borel (Lecture Notes in Mathematics, n° 946, Springer 1982). Zbl0486.20025MR84a:14024
  13. [13] R. STEINBERG, Endomorphisms of linear algebraic groups (Memoirs of AMS, n° 80, 1968). Zbl0164.02902MR37 #6288

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