Higman's criterion revisited

Michigan Mathematical Journal

Volumn 58, Issue 1, 2009, Pages 125-179

  Broué, Michel ^a  

^a INSTITUT HENRI POINCARÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67349207547     PISSN: 00262285     EISSN: 19452365     Source Type: Journal    
DOI: 10.1307/mmj/1242071686     Document Type: Article

References (21)

1. J. L. Alperin, Local representation theory, Cambridge Stud. Adv. Math., 11, Cambridge Univ. Press, Cambridge, 1986.
2. P. Balmer and M. Schlichting, Idempotent completion of triangulated categories, J. Algebra 236 (2001), 819-834.
3. N. Bourbaki, Éléments de mathématique. Algèbre I, Hermann, Paris, 1970.
4. M. Broué, Equivalences of blocks of group algebras, Finite dimensional algebras and related topics (Ottawa, 1992), pp. 1-26, Kluwer, Dordrecht, 1994.
5. Y. Fan, Block covers and module covers of finite groups, Group theory (Singapore, 1987), pp. 357-366, de Gruyter, Berlin, 1989.
6. -, Local characterizations of block covers and their applications, J. Algebra 152 (1992), 397-416.
7. M. Geck, Beiträge zur Darstellungstheorie von Iwahori-Hecke-Algebren, Habilitationsschrift, RWTH Aachen, 1993.
8. M. Geck and R. Rouquier, Centers and simple modules for Iwahori-Hecke algebras, Finite reductive groups (Luminy, 1994), Progr. Math., 141, pp. 251-272, Birkhäuser, Boston, 1997.
9. D. G. Higman, Indecomposable representations at characteristics p, Duke Math. J. 21 (1954), 377-381.
10. -, Modules with a group of operators, Duke Math. J. 21 (1954), 369-376.
11. -, Induced and produced modules, Canadian J. Math. 7 (1955), 490-508.
12. M. Ikeda, On a theorem of Gaschütz, Osaka Math. J. 5 (1953), 53-58.
13. L. Illusie, Calculs de termes locaux cohomologie ℓ-adique et fonctions L (SGA 5), Lecture Notes in Math., 589, pp. 138-203, Springer-Verlag, Berlin, 1977.
14. N. Jacobson, Basic algebra II, Freeman, San Francisco, 1980.
15. B. Keller, Introduction to abelian and derived categories, Representations of reductive groups, pp. 41-61, Cambridge Univ. Press, Cambridge, 1998.
16. -, Private communication, 2007.
17. S. Mac Lane, Categories for the working mathematician, Grad. Texts in Math., 5, Springer-Verlag, Berlin, 1971.
18. J. Rickard, The abelian defect group conjecture, Proceedings of the International Congress of Mathematicians, vol. II (Berlin, 1998), Doc. Math., extra vol. II, pp. 121-128, Bielefeld, 1998.
19. -, Equivalences of derived categories for symmetric algebras, J. Algebra 257 (2002), 460-481.
20. J.-P. Serre, Représentations linéaires des groupes finis, Hermann, Paris, 1971.
21. J.-L. Verdier, Des catégories dérivées, des catégories abéliennes, Astérisque 239 (1996).