@incollection{AST_1993__212__7_0, author = {Brou\'e, Michel and Malle, Gunter and Michel, Jean}, title = {Generic blocks of finite reductive groups to {Charlie} {Curtis}}, booktitle = {Repr\'esentations unipotentes g\'en\'eriques et blocs des groupes r\'eductifs finis - Avec un appendice de George Lusztig}, series = {Ast\'erisque}, pages = {7--92}, publisher = {Soci\'et\'e math\'ematique de France}, number = {212}, year = {1993}, language = {en}, url = {http://archive.numdam.org/item/AST_1993__212__7_0/} }
TY - CHAP AU - Broué, Michel AU - Malle, Gunter AU - Michel, Jean TI - Generic blocks of finite reductive groups to Charlie Curtis BT - Représentations unipotentes génériques et blocs des groupes réductifs finis - Avec un appendice de George Lusztig AU - Collectif T3 - Astérisque PY - 1993 SP - 7 EP - 92 IS - 212 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1993__212__7_0/ LA - en ID - AST_1993__212__7_0 ER -
%0 Book Section %A Broué, Michel %A Malle, Gunter %A Michel, Jean %T Generic blocks of finite reductive groups to Charlie Curtis %B Représentations unipotentes génériques et blocs des groupes réductifs finis - Avec un appendice de George Lusztig %A Collectif %S Astérisque %D 1993 %P 7-92 %N 212 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1993__212__7_0/ %G en %F AST_1993__212__7_0
Broué, Michel; Malle, Gunter; Michel, Jean. Generic blocks of finite reductive groups to Charlie Curtis, in Représentations unipotentes génériques et blocs des groupes réductifs finis - Avec un appendice de George Lusztig, Astérisque, no. 212 (1993), pp. 7-92. http://archive.numdam.org/item/AST_1993__212__7_0/
[Be] Schur indices and splitting fields of the unitary reflection groups, J. Algebra 38 (1976), 318-342.
,[BoTi] Groupes réductifs, Publ. Math. I. H. E. S. 27 (1965), 55-151.
and ,[Bou] Groupes et algèbres de Lie, chap. 4, 5 et 6, Hermann, Paris, 1968.
,[Boy] Cyclotomic polynomials and irreducible representations of finite groups of Lie type, unpublished manuscript.
,[Br1] Isométries parfaites, types de blocs, catégories dérivées, Astérisque 181-182 (1990), 61-92.
,[Br2] Les -blocs des groupes et et leurs structures locales, Astérisque 133-134 (1986), 159-188.
,[BrMa] Théorèmes de Sylow génériques pour les groupes réductifs sur les corps finis, Math. Ann. 292 (1992), 241-262.
and ,[BrMa2] Zyklotomische Heckealgebren, This issue (1993).
and ,[BrMi] Blocs et séries de Lusztig dans un groupe réductif fini, J. reine angew. Math. 395 (1989), 56-67.
and ,[Ca] Finite groups of Lie type: Conjugacy classes and complex characters, John Wiley and Sons, Chichester, 1985.
,[Co] Finite complex reflection groups, Ann. scient. Éc. Norm. Sup. 9 (1976), 379-436.
,[DeLu] Representations of reductive groups over finite fields, Annals of Math. 103 (1976), 103-161.
and ,[DiMi1] On Lusztig's parametrization of characters of finite groups of Lie type, Astérisque 181-182 (1990), 113-156.
and ,[DiMi2] Representations of finite groups of Lie type, Cambridge University Press, Cambridge, 1990.
and ,[DiMi3] Lusztig functor and Shintani descent, Rapport de Recherche du LMENS 2 (1989), Publications du DMI, ENS Paris.
and ,[En1] Isométries parfaites entre blocs de groupes symétriques, Astérisque 181-182 (1990), 157-171.
,[En2] Positivité de l'application de Lusztig, Publications du L.M.E.N.S. (1992).
,[FoSr] Generalized Harish-Chandra theory for unipotent characters of finite classical groups, J. Algebra 104 (1986), 301-309.
and ,[Ge] On the classification of -blocks of finite groups of Lie type, J. Algebra 149 (1992).
,[GeHi] Basic sets of Brauer characters of finite groups of Lie type, J. reine angew. Math. 418 (1991), 173-178.
and ,[HoLe] Representations of generic algebras and finite groups of Lie type, Trans. Am. Math. Soc. 280 (1983), 753-779.
and ,[JaKe] The representation theory of the symmetric group, Addison Wesley, London, 1981.
and ,[Lu1] Characters of reductive groups over a finite field, Annals of Mathematical Studies, no 107, Princeton University Press, Princeton, New Jersey, 1984.
,[Lu2] On the finiteness of the number of unipotent classes, Invent. math. 34 (1976), 201-213.
,[LuSr] The characters of the finite unitary groups, J. Algebra 49 (1977), 167-171.
and ,[NPP] CAS; Design and use of a system for the handling of characters of finite groups, in: Computational group theory, Academic Press, 1984, pp. 195-247.
, and ,[Ol] Remarks on symbols, hooks and degrees of unipotent characters, J. Combinatorics A 42 (1986), 223-238.
,[Os] On the representations of the generalized symmetric group, Math. J. Okayama Univ. 4 (1954), 39-56.
,[Rob] Group algebras over semi-local rings, J. Algebra 117 (1988), 409-418.
,[RoSt] On -subpairs and the Third Main Theorem for -Blocks, J. Algebra 126 (1989), 310-326.
and ,[Rou] Sur les blocs à groupe de défaut abélien dans les groupes symétriques (1991) (to appear).
,[Sch] Blöcke exzeptioneller Chevalley-Gruppen, Dissertation, Bonner Mathematische Schriften, nr 165, Bonn, 1985.
,[Sho1] Some generalization of Asai's result for classical groups, in: Advanced Studies in Pure Math. - Algebraic groups and related topics, vol. 6, 1985, pp. 207-229.
,[Sho2] Shintani descent for exceptional groups over a finite field, J. Fac. Sci. Univ. Tokyo 34 (1987), 599-653.
,[Sp1] Regular elements of finite reflection groups, Invent. math. 25 (1974), 159-198.
,[Sp2] Linear algebraic groups, Birkhäuser, Boston-Basel-Stuttgart, 1981.
,[SpSt] Conjugacy classes, in: Seminar on algebraic groups and related finite groups, Lecture Notes in Mathematics, vol. 131, Springer-Verlag, Berlin Heidelberg, 1970.
and ,