@incollection{AST_1990__181-182__61_0, author = {Brou\'e, Michel}, title = {Isom\'etries parfaites, types de blocs, cat\'egories d\'eriv\'ees}, booktitle = {Repr\'esentations lin\'eaires des groupes finis - Luminy, 16-21 mai 1988}, series = {Ast\'erisque}, pages = {61--92}, publisher = {Soci\'et\'e math\'ematique de France}, number = {181-182}, year = {1990}, mrnumber = {1051243}, zbl = {0704.20010}, language = {fr}, url = {http://archive.numdam.org/item/AST_1990__181-182__61_0/} }
TY - CHAP AU - Broué, Michel TI - Isométries parfaites, types de blocs, catégories dérivées BT - Représentations linéaires des groupes finis - Luminy, 16-21 mai 1988 AU - Collectif T3 - Astérisque PY - 1990 SP - 61 EP - 92 IS - 181-182 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1990__181-182__61_0/ LA - fr ID - AST_1990__181-182__61_0 ER -
%0 Book Section %A Broué, Michel %T Isométries parfaites, types de blocs, catégories dérivées %B Représentations linéaires des groupes finis - Luminy, 16-21 mai 1988 %A Collectif %S Astérisque %D 1990 %P 61-92 %N 181-182 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1990__181-182__61_0/ %G fr %F AST_1990__181-182__61_0
Broué, Michel. Isométries parfaites, types de blocs, catégories dérivées, in Représentations linéaires des groupes finis - Luminy, 16-21 mai 1988, Astérisque, no. 181-182 (1990), pp. 61-92. http://archive.numdam.org/item/AST_1990__181-182__61_0/
[Alv] The duality operation in the character ring of a finite Chevalley group, Proc. Symp. Pure Math. 37 (1980), 353-357. | DOI | MR | Zbl
,[Al] Weights for finite groups, Proc. Symp. Pure Math. 47 (1987), 369-380. | DOI | MR | Zbl
,[Al-Br] Local Methods in Block Theory, Ann. of Math. 110 (1979), 143-157. | DOI | MR | Zbl
and ,[Bra] Types of Blocks of Representations of Finite Groups, Proc. Symp. Pure Math. 21 (1971), 7-11. | DOI | MR | Zbl
,[Br.1] On Characters of Height zero, Proc. Symp. Pure Math. 37 (1980), 393-396. | DOI | MR | Zbl
,[Br.2] Dualité de Curtis et caractères de Brauer, C. R. Acad. Sc. Paris 295 (1982), 559-562. | MR | Zbl
,[Br.3] Les -blocs des groupes et et leurs structures locales, Astérisque 133-134 (1986), 159-188. | EuDML | Numdam | MR | Zbl
,[Br.4] Blocs, isométries parfaites, catégories dérivées, C. R. Acad. Sc. Paris 307 (1988), 13-18. | MR | Zbl
,[Br.5] Brauer coefficients of -subgroups associated with a p-block of a finite group, Journal of Algebra 51 (1979), 365-383. | DOI | MR | Zbl
,[Br.6] Théorie locale des blocs d'un groupe fini, in "Proc. of the I.C.M., Berkeley," 1986, pp. 360-368. | MR | Zbl
,[Br-Mi] Blocs et séries de Lusztig dans un groupe réductif fini, J. reine angew. Math. 395 (1989), 56-67. | EuDML | MR | Zbl
et ,[Br-Ol] Subpairs multiplicities in finite groups, J. reine angew. Math. 371 (1986), 125-143. | EuDML | MR | Zbl
and ,[Br-Pu] A Frobenius theorem for blocks, Invent. Math. 56 (1980), 117-128. | DOI | EuDML | MR | Zbl
and ,[Ca] Finite groups of Lie type: conjugacy classes and complex characters," Wiley-Interscience, New-York, 1985. | MR | Zbl
, "[Da.1] Endo-permutation modules over -groups I, Ann. of Math. 107 (1978), 459-494 | DOI | MR | Zbl
,Endo-permutation modules over -groups II, 108 (1978), 317-346. | MR | Zbl
,[Da.2] A correspondence of characters, Proc. Symp. Pure Math. 37 (1980), 401-403. | DOI | MR | Zbl
,[De-Lu.1] Representations of reductive groups over finite fields, Ann. of Math. 103 (1976), 103-161. | DOI | MR | Zbl
and ,[De-Lu.2] Duality for representations of a reductive group over a finite field, Journal of Algebra 81 (1983), 540-549. | DOI | MR | Zbl
and ,[Di-Mi] Remarques sur la Dualité de Curtis, Journal of Algebra 79 (1982), 151-160. | DOI | MR | Zbl
et ,[En.1] Isométries parfaites entre blocs des groupes symétriques, preprint (1988).
,[En.2] Isométries parfaites entre blocs de groupes linéaires ou unitaires, preprint (1989). | Zbl
,[Fe] The representation theory of finite groups," North-Holland, Amsterdam, 1982. | MR | Zbl
, "[Fo] On the characters of -solvable groups, Trans. A.M.S. 98 (1961), 263-284. | MR | Zbl
,[Gri] Catégories dérivées et foncteurs dérivés, in "Algebraic D-modules," Academic Press, Orlando, 1987, pp. 1-107.
,[Gr] Groupes des classes des catégories abéliennes et triangulées, complexes parfaits, in "SGA 5," Springer-Verlag L.N. 589, 1977, pp. 351-371. | Zbl
,[Ha] Triangulated Categories in the Representation Theory of Finite Dimensional Algebras," Cambridge University Press, 1988. | MR | Zbl
, "[Ku-Pu] Extensions of nilpotent blocks, à paraître (1988). | Zbl
and ,[Li] Le centre d'un bloc à groupes de défaut cycliques, C. R. Acad. Sc. Paris 307 (1988), 13-18. | MR | Zbl
,[La-Mi.1] Block structure of the smallest Janko group, Math.Ann. 232 (1978), 205-238. | DOI | EuDML | MR | Zbl
and ,[La-Mi.2] Principal -blocks of the simple groups of Ree type, Trans. AMS 260 (1980), 83-111. | MR | Zbl
and ,[Lu] On the Finiteness of the Number of Unipotent Classes, Invent. Math. 34 (1976), 201-213. | DOI | EuDML | MR | Zbl
,[Pu.1] Local block theory in -solvable groups, Proc. Symp. Pure Math 37 (1980), 385-388. | DOI | MR | Zbl
,[Pu.2] Nilpotent blocks and their source algebras, Invent. Math. 93 (1988), 77-116. | DOI | EuDML | MR | Zbl
,[Pu.3] Local extensions in endo-permutation modules split: a proof of Dade's theorem, in "Séminaire sur les groupes finis, III," Université Paris VII, Paris, 1987, pp. 199-206. | MR | Zbl
,[Ri.1] Morita Theory for Derived Categories, preprint (1987). | MR | Zbl
,[Ri.2] Derived Categories and Stable Equivalence, preprint (1987). | MR | Zbl
,[Se] Représentations linéaires des groupes finis," Hermann, Paris, 1971. | MR | Zbl
, "[Sp-St] Conjugacy classes, in "Seminar on algebraic groups and related finite groups," Springer-Verlag, 1970. | DOI | MR | Zbl
and ,[War] On Ree's series of simple groups, Trans. Amer. Math. Soc. 121 (1966), 62-89. | MR | Zbl
,[Wat] On generalized decomposition numbers and Fong's reductions, Osaka J. Math. 22 (1985), 393-400. | MR | Zbl
,