Les l -blocs des groupes G L ( n , q ) et U ( n , q 2 ) et leurs structures locales

Michel Broué

Séminaire Bourbaki (1984-1985)

  • Volume: 27, page 159-188
  • ISSN: 0303-1179

How to cite


Broué, Michel. "Les $l$-blocs des groupes $GL(n,q)$ et $U(n,q^2)$ et leurs structures locales." Séminaire Bourbaki 27 (1984-1985): 159-188. <http://eudml.org/doc/110040>.

author = {Broué, Michel},
journal = {Séminaire Bourbaki},
keywords = {-blocks of GL(n,q); characters; finite reductive groups; Deligne- Lusztig induction},
language = {fre},
pages = {159-188},
publisher = {Société Mathématique de France},
title = {Les $l$-blocs des groupes $GL(n,q)$ et $U(n,q^2)$ et leurs structures locales},
url = {http://eudml.org/doc/110040},
volume = {27},
year = {1984-1985},

AU - Broué, Michel
TI - Les $l$-blocs des groupes $GL(n,q)$ et $U(n,q^2)$ et leurs structures locales
JO - Séminaire Bourbaki
PY - 1984-1985
PB - Société Mathématique de France
VL - 27
SP - 159
EP - 188
LA - fre
KW - -blocks of GL(n,q); characters; finite reductive groups; Deligne- Lusztig induction
UR - http://eudml.org/doc/110040
ER -


  1. [A-B] J.L. Alperin, M. Broué - Local methods in block theory, Ann. of Math.110 (1979), 143-157. Zbl0416.20006MR541333
  2. [Br.1] R. Brauer - On a conjecture by Nakayama, Trans.Roy.Soc.Can.XLI(1947), 11-19. Zbl0029.19904MR29906
  3. [Br.2] R. Brauer - Zur Darstellungstheorie der Gruppen endlicher Ordnung, (I)Math. Z.63(1956), 406-444, (II)Math.Z.72(1959), 25-46. Zbl0093.03101MR75953
  4. [Br.3] R. Brauer - On blocks and sections, (I)Amer.J.Math.89(1967), 1115-1136, (II) Amer.J.Math.90(1968), 895-925. Zbl0174.05401
  5. [Br.4] R. Brauer - On the structure of blocks of characters of finite groups, Proc. Second Intern. Conf. Theory of Groups, Canberra (1973), 103-130. Zbl0302.20011MR352238
  6. [Br] M. Broué - Radical, hauteurs, p-sections et blocs, Ann. of Math.107 (1978), 89-107. Zbl0405.20008MR485862
  7. [B-P.1] M. Broué, L. Puig - Characters and local structure on G-algebras, J.of Alg.63(1980), 306-317. Zbl0428.20005MR570714
  8. [B-P.2] M. Broué, L. Puig - A Frobenius theorem for blocks, Inv.Math.56(1980), 117-128. Zbl0425.20008MR558864
  9. [Cu.1] C.W. Curtis - Reduction theorems for characters of finite groups of Lie type, J.Math.Soc. Japan27(1975), 666)688. Zbl0382.20007MR399282
  10. [Cu.2] C.W. Curtis - Representations of finite groups of Lie type, Bull.AMS (N.S)1 (1979), 721-757. Zbl0416.20002MR537625
  11. [D-L] P. Deligne, G. Lusztig - Representations of reductive groups over finite fields, Ann. of Math.103(1976), 103-161. Zbl0336.20029MR393266
  12. [Di] F. Digne - Fonctions L des variétés de Deligne-Lusztig et descente de Shintani, Thèse Un.Paris-Sud (1984). MR772215
  13. [D-M] F. Digne, J. Michel - Foncteur de Lusztig et fonctions de Green généralisées, CRAS297(1983), 89-92. Zbl0541.20026MR720915
  14. [Fe] W. Feit - The representation theory of finite groups, North-Holland (1982). Zbl0493.20007MR661045
  15. [F-S] P. Fong, B. Srinivasan - The blocks of finite general linear and unitary groups, Inv.Math.69(1982), 109-153. Zbl0507.20007MR671655
  16. [Gr] J.A. Green - The characters of the finite general linear groups, Trans.AMS80(1955), 402-447. Zbl0068.25605MR72878
  17. [Ja] G. James - The representation theory of the symmetric group, L.N.in Math. vol.682, Springer-Verlag (1978). Zbl0393.20009MR513828
  18. [Lu.1] G. Lusztig - Representations of finite classical groups, Inv.Math.43(1977), 125-175. Zbl0372.20033MR463275
  19. [Lu.2] G. Lusztig - Characters of reductive groups over a finite field, Princeton University Press, Princeton (1984). MR742472
  20. [L-S] G. Lusztig, B. Srinivasan - The characters of the finite unitary groups, J.of Alg.49(1977), 167-171. Zbl0384.20008MR453886
  21. [Mi] J. Michel - Théorie de Deligne Lusztig et caractères des groupes linéaires et unitaires, Thèse Un.Paris-Sud (1984). MR772216
  22. [M-0] G.O. Michler, J.B. Olsson - Character correspondences in finite general linear, unitary and symmetric groups, Math.Z.184(1983), 203-233. Zbl0505.20009MR716272
  23. [Na] T. Nakayama - On some modular properties of irreducible representations of a symmetric group, Jap.J.Math.17(1940), (I) 89-108, (II) 411-423. Zbl0061.04001MR5730
  24. [Pu.1] L. Puig - La classification des groupes finis simples : bref aperçu et quelques conséquences internes, Sém.Bourbaki, 34e année (1981/82), n°584, Astérisque92-93(1982), 101-128. Zbl0496.20009MR689528
  25. [Pu.2] L. Puig - The Nakayama conjecture and the Brauer pairs, Preprint (1982). MR907478
  26. [Pu.3] L. Puig - The source algebra of a nilpotent block, Preprint (1982). 
  27. [Ro] G. Robinson - On group algebras of finite groups over semi-local rings, Manuscrit (1984). 
  28. [Se] J.-P. Serre - Représentations linéaires des groupes finis, 3ème éd. Hermann, Paris (1978). Zbl0407.20003MR543841
  29. [Sr] B. Srinivasan - Representations of finite Chevalley groups, L.N.in Math. vol.764, Springer-Verlag (1979). Zbl0434.20022MR551499
  30. [Zh] A. Zhelevinski - Representation of finite classical groups, L.N.in Math. vol.869, Springer-Verlag (1981). Zbl0465.20009MR643482
  31. J.-P. Serre - Représentations linéaires des groupes finis "algébriques", Séminaire Bourbaki 487, 1975-76, L.N. in Math.567, Springer-Verlag. MR435240

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