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Published online by Cambridge University Press: 31 May 2018
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- The Block Theory of Finite Group Algebras , pp. 505 - 509Publisher: Cambridge University PressPrint publication year: 2018
References
[2] and , The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409.Google Scholar
[3] and , Representation theory of Artin algebras VI: a functorial approach to almost split sequences, Comm. Algebra 6(3) (1978) 257–300.Google Scholar
[4] , , and , Representation theory of Artin algebras, Cambridge studies in advanced mathematics 36, Cambridge University Press (1995).Google Scholar
[5] , Representations and cohomology, Vol. I: Cohomology of groups and modules, Cambridge studies in advanced mathematics 30, Cambridge University Press (1991).Google Scholar
[6] , Representations and cohomology, Vol. II: Cohomology of groups and modules, Cambridge studies in advanced mathematics 31, Cambridge University Press (1991).Google Scholar
[8] , On certain properties of integral group rings, Dokl. Akad. Nauk. SSSR 91 (1953), 7–9.Google Scholar
[10] , Résolutions de foncteurs de Mackey; in: “Groups, representations: cohomology, group actions and topology” (eds.: , , , ), Proc. Symp. Pure Math. 63 (1998), 31–83.Google Scholar
[11] , Bisets as categories and tensor product of induced bimodules. Appl. Categor. Struct. 18 (2010), 517–521.Google Scholar
[13] , On Scott modules and p-permutation modules: an approach through the Brauer homomorphism, Proc. Amer. Math. Soc. 93 (1985), 401–408.Google Scholar
[14] , Equivalences of blocks of group algebras, in: Finite dimensional algebras and related topics, Kluwer (1994), 1–26.Google Scholar
[15] and , Characters and local structure in G-algebras, J. Algebra 63 (1980), 306–317.Google Scholar
[16] , Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings, unpublished manuscript (1987)
[18] and , The representation theory of finite reductive groups. New Mathematical Monographs, Cambridge University Press (2004).Google Scholar
[20] , , and , Order-theoretic properties of the center of a block, in: The Arcata Conference on Representations of Finite Groups (editor: ), Proc. Sympos. Pure Math. 47, Amer. Math. Soc, Providence RI (1987), 413–420.Google Scholar
[22] and , Methods of representation theory Vol. I, John Wiley and Sons, New York, London, Sydney (1981).Google Scholar
[23] , Deux groupes finis ayant la même algèbre de groupe sur tout corps, Math. Z. 119 (1964), 345–348.Google Scholar
[25] , The Green correspondents of simple group modules, J. Algebra 78 (1982), 357–371.Google Scholar
[26] , Finite Abelian groups with isomorphic group algebras, DukeMath. J. 23 (1956), 35–40.Google Scholar
[27] and , A note on stable equivalences of Morita type, J. Pure Appl. Algebra 208 (2007), 421–433.Google Scholar
[29] , The representation theory of finite groups, North-Holland Mathematical Library 25, North-Holland Publishing Company, Amsterdam (1982).Google Scholar
[30] , Über den Fundamentalsatz von Maschke zur Darstellungstheorie der endlichen Gruppen. Math. Z. 56 (1952) 376–387.Google Scholar
[31] and , Characters of finite Coxeter groups and Iwahori algebras. Oxford University Press (2000).Google Scholar
[34] , Polynomial representations of GLn, Lecture Notes in Math. 830 (2007), second edition, Springer Verlag, Berlin Heidelberg.
[35] , Adjoint functors and triangulated categories, Comm. Algebra 36 (2008), 3589–3607.Google Scholar
[36] and , On the modular isomorphism problem: groups of order 26, in: Groups, Rings, Algebras (, , , eds.), Contemp. Math 420, Amer. Math. Soc., Providence, RI (2006), 141–161.Google Scholar
[38] , , and , Blocks with a quaternion defect group over a 2-adic ring: the case A4, Glasg. Math. J. 49 (2007), 29–43.Google Scholar
[39] , Bemerkungen zur modularen Darstellungstheorie 1. Absolut unzerlegbare Moduln. Archiv Math. (Basel) 26 (1975), 242–249.
[42] , The group of units of the integral group rings of finite metabelian and finite nilpotent groups, Quart. J. Math. Oxford 20 (1969), 313–319.Google Scholar
[43] , The structure of the group ring of a p-group over a modular field, Trans. Amer. Math. Soc. 50 (1941), 175–185.Google Scholar
[44] , On split, separable subalgebras with counitality condition. Hokkaido Math. J. 24 (1995), 527–549.Google Scholar
[45] , On the construction of triangle equivalences, in: Derived Equivalences for Group Rings (, ), Lecture Notes in Math. 1685, Springer Verlag, Berlin-Heidelberg (1998), 155–176.Google Scholar
[48] and , Derived equivalences for group rings, Lecture Notes inMathematics 1685, Springer Verlag Berlin Heidelberg (1998) pp. X+246.Google Scholar
[49] , Bemerkungen über die Gruppenalgebra als symmetrische Algebra, J. Algebra 72 (1981), 1–7.Google Scholar
[50] , , and , A lifting theorem with applications to blocks and source algebras, J. Algebra 232 (2000), 299–309.Google Scholar
[51] and , Extensions of nilpotent blocks, unpublished manuscript.
[53] and , Characters of relatively projective modules II, J. London Math. Soc. 36 (1987), 59–67.Google Scholar
[55] , Stable equivalences of Morita type for self-injective algebras and p-groups, Math. Z. 223 (1996) 87–100.Google Scholar
[56] , On stable equivalences of Morita type, in: S. Konig and A. Zimmermann, Derived equivalences for group rings, Lecture Notes in Mathematics 1685, Springer Verlag Berlin Heidelberg (1998), 221–232.Google Scholar
[57] , On splendid derived and stable equivalences between blocks of finite groups, J. Algebra 242 (2001), 819–843.Google Scholar
[59] , Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero, Bull. London Math. Soc. 43 (2011), 871–885.Google Scholar
[60] , Tate duality and transfer in Hochschild cohomology. J. Pure Appl. Algebra 217 (2013), 2387–2399.Google Scholar
[61] , On stable equivalences with endopermutation source, J. Algebra 434 (2015), 27–45.Google Scholar
[62] and , Constructions of stable equivalences of Morita type for finitedimensional algebras. III. J. Lond. Math. Soc. 76 (2007), 567–585.Google Scholar
[63] , Characters of reductive groups over finite fields, Princeton University Press (1984).Google Scholar
[64] , Representation Theory of Group-graded Algebras, Nova Science Publishers, Inc., Commack NY (1999).Google Scholar
[65] , Commutative ring theory. Cambridge studies in advanced mathematics 8, Cambridge University Press (1986).Google Scholar
[66] , Some applications of module theory to functor categories. Bull. Amer. Math. Soc. 84 (1978) 867–885.Google Scholar
[68] and , Local properties of p-block algebras of finite groups, Osaka J. Math. 20 (1983), 33–41.Google Scholar
[74] , On Thévenaz' parametrization of interior G-algebras, Math. Z. 215 (1994), 321–335.Google Scholar
[75] , The center of a block, in: Finite Reductive Groups (M. Cabanes, ed.), Progress in Math. 141 (1997), 361–372.Google Scholar
[76] , Topics in integral representation theory, Lecture Notes in Math. 744, Springer Verlag, Berlin Heidelberg (1979).Google Scholar
[78] , Derived equivalences as derived functors, J. London Math. Soc. 43 (1991), 37–48.Google Scholar
[79] , Splendid equivalence: derived categories and permutation modules, Proc. London Math. Soc. 72 (1996), 331–358.Google Scholar
[80] , Equivalences of derived categories for symmetric algebras, J. Algebra 257 (2002), 460–481.Google Scholar
[82] , The derived category of blocks with cyclic defect groups, in:Derived Equivalences for Group Rings (, ), Lecture Notes in Math. 1685, Springer Verlag, Berlin-Heidelberg, 1998, 199–220.Google Scholar
[85] , Linear representations of finite groups, Graduate Texts inMathematics 42, Springer-Verlag, New York (1982).Google Scholar
[87] , Endomorphisms of linear algebraic groups. Mem. Amer.Math. Soc. 80 (1968), Providence.Google Scholar
[88] , Extensions of group representations from a normal subgroup, Comm. Algebra 11 (1983), 391–425.Google Scholar
[90] , G-algebras and modular representation theory, Oxford Science Publications, Clarendon, Oxford (1995).Google Scholar
[92] , An introduction to the representations and cohomology of categories, in: (eds: , , ) Group representation theory, EPFL Press, Lausanne (2007).Google Scholar
[93] , An introduction to homological algebra, Cambridge studies in advanced mathematics 38, Cambridge University Press (1994).Google Scholar
[95] , Representations of categories and their applications. J. Algebra 317 (2007), 153–183.Google Scholar