Higman´s criterion revisited
Michel Broué
Source: Michigan Math. J. Volume 58, Issue 1 (2009), 125-179.
Primary Subjects: 20C20, 20J99, 16G99
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.mmj/1242071686
Digital Object Identifier: doi:10.1307/mmj/1242071686
References
J. L. Alperin, Local representation theory, Cambridge Stud. Adv. Math., 11, Cambridge Univ. Press, Cambridge, 1986.
Mathematical Reviews (MathSciNet):
MR860771
P. Balmer and M. Schlichting, Idempotent completion of triangulated categories, J. Algebra 236 (2001), 819--834.
Mathematical Reviews (MathSciNet):
MR1813503
Digital Object Identifier: doi:10.1006/jabr.2000.8529
Zentralblatt MATH:
0977.18009
N. Bourbaki, Éléments de mathématique. Algèbre I, Hermann, Paris, 1970.
Mathematical Reviews (MathSciNet):
MR274237
M. Broué, Equivalences of blocks of group algebras, Finite dimensional algebras and related topics (Ottawa, 1992), pp. 1--26, Kluwer, Dordrecht, 1994.
Mathematical Reviews (MathSciNet):
MR1308978
Y. Fan, Block covers and module covers of finite groups, Group theory (Singapore, 1987), pp. 357--366, de Gruyter, Berlin, 1989.
Mathematical Reviews (MathSciNet):
MR981854
Zentralblatt MATH:
0662.20007
------, Local characterizations of block covers and their applications, J. Algebra 152 (1992), 397--416.
Mathematical Reviews (MathSciNet):
MR1194309
Digital Object Identifier: doi:10.1016/0021-8693(92)90038-N
M. Geck, Beiträge zur Darstellungstheorie von Iwahori--Hecke--Algebren, Habilitationsschrift, RWTH Aachen, 1993.
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.
Mathematical Reviews (MathSciNet):
MR1429875
Zentralblatt MATH:
0868.20013
D. G. Higman, Indecomposable representations at characteristics $p,$ Duke Math. J. 21 (1954), 377--381.
Mathematical Reviews (MathSciNet):
MR67896
Digital Object Identifier: doi:10.1215/S0012-7094-54-02138-9
Project Euclid: euclid.dmj/1077465741
Zentralblatt MATH:
0055.25503
------, Modules with a group of operators, Duke Math. J. 21 (1954), 369--376.
Mathematical Reviews (MathSciNet):
MR67895
Digital Object Identifier: doi:10.1215/S0012-7094-54-02137-7
Project Euclid: euclid.dmj/1077465740
Zentralblatt MATH:
0055.25502
------, Induced and produced modules, Canadian J. Math. 7 (1955), 490--508.
Mathematical Reviews (MathSciNet):
MR87671
M. Ikeda, On a theorem of Gaschütz, Osaka Math. J. 5 (1953), 53--58.
Mathematical Reviews (MathSciNet):
MR55326
L. Illusie, Calculs de termes locaux cohomologie $\ell$-adique et fonctions $L$ (SGA 5), Lecture Notes in Math., 589, pp. 138--203, Springer-Verlag, Berlin, 1977.
N. Jacobson, Basic algebra II, Freeman, San Francisco, 1980.
Mathematical Reviews (MathSciNet):
MR571884
B. Keller, Introduction to abelian and derived categories, Representations of reductive groups, pp. 41--61, Cambridge Univ. Press, Cambridge, 1998.
Mathematical Reviews (MathSciNet):
MR1714149
Zentralblatt MATH:
0913.18008
------, Private communication, 2007.
S. Mac Lane, Categories for the working mathematician, Grad. Texts in Math., 5, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet):
MR354798
Zentralblatt MATH:
0705.18001
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.
Mathematical Reviews (MathSciNet):
MR1648062
Zentralblatt MATH:
0919.20007
------, Equivalences of derived categories for symmetric algebras, J. Algebra 257 (2002), 460--481.
Mathematical Reviews (MathSciNet):
MR1947972
Digital Object Identifier: doi:10.1016/S0021-8693(02)00520-3
Zentralblatt MATH:
1033.20005
J.-P. Serre, Représentations linéaires des groupes finis, Hermann, Paris, 1971.
Mathematical Reviews (MathSciNet):
MR352231
J.-L. Verdier, Des catégories dérivées, des catégories abéliennes, Astérisque 239 (1996).
Mathematical Reviews (MathSciNet):
MR1453167
The Michigan Mathematical Journal