Bibliography: Published Works


The links are to reviews on MathSciNet. These links won't work unless you are a MathSciNet subscriber.
[Bro1] Michel Broué. Blocs, isométries parfaites, catégories dérivées. C. R. Acad. Sci. Paris Sér. I Math., 307(1):13-18, 1988.
MathSciNet
[Bro2] Michel Broué. Isométries parfaites, types de blocs, catégories dérivées. Astérisque, (181-182):61-92, 1990.
MathSciNet
[Bro3] Michel Broué. Isométries de caractères et équivalences de Morita ou dérivées. Inst. Hautes Études Sci. Publ. Math., (71):45-63, 1990.
MathSciNet
[Bro4] M. Broué. Rickard equivalences and block theory. In Groups '93 Galway/St. Andrews, Vol. 1 (Galway, 1993), pages 58-79. Cambridge Univ. Press, Cambridge, 1995.
MathSciNet
[Bro5] Michel Broué. Equivalences of blocks of group algebras. In Finite-dimensional algebras and related topics (Ottawa, ON, 1992), pages 1-26. Kluwer Acad. Publ., Dordrecht, 1994.
MathSciNet
[BroMalMic] Michel Broué, Gunter Malle, and Jean Michel. Generic blocks of finite reductive groups. Astérisque, (212):7-92, 1993. Représentations unipotentes génériques et blocs des groupes réductifs finis.
MathSciNet
[CabPic] Marc Cabanes and Claudine Picaronny. Types of blocks with dihedral or quaternion defect groups. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 39(1):141-161, 1992.
MathSciNet
[Car] Pierre Cartier. La théorie des blocs et les groupes génériques. Astérisque, (227):Exp. No. 781, 4, 171-208, 1995. Séminaire Bourbaki, Vol. 1993/94.
MathSciNet
[Chu1] Joseph Chuang. Derived equivalence in SL2(p2). Trans. Amer. Math. Soc., 353(7):2897-2913 (electronic), 2001.
MathSciNet
[Chu2] Joseph Chuang. The derived categories of some blocks of symmetric groups and a conjecture of Broué. J. Algebra, 217(1):114-155, 1999.
MathSciNet
[Cli] Gerald Cliff. On centers of 2-blocks of Suzuki groups. J. Algebra, 226(1):74-90, 2000.
MathSciNet
[Dad] Everett C. Dade. A correspondence of characters. In The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), pages 401-403. Amer. Math. Soc., Providence, R.I., 1980.
MathSciNet
[Eng1] Michel Enguehard. Isométries parfaites entre blocs de groupes symétriques. Astérisque, (181-182):157-171, 1990.
MathSciNet
[Eng2] Michel Enguehard. Isométries parfaites entre blocs de groupes linéaires ou unitaires. Math. Z., 206(1):1-24, 1991.
MathSciNet
[ErdMarSco] Karin Erdmann, Stuart Martin, and Joanna Scopes. Morita equivalence for blocks of the Schur algebras. J. Algebra, 168(1):340-347, 1994.
MathSciNet
[FonHar1] Paul Fong and Morton E. Harris. On perfect isometries and isotypies in finite groups. Invent. Math., 114(1):139-191, 1993.
MathSciNet
[FonHar2] Paul Fong and Morton E. Harris. On perfect isometries and isotypies in alternating groups. Trans. Amer. Math. Soc., 349(9):3469-3516, 1997.
MathSciNet
[GerSch] Murray Gerstenhaber and Mary E. Schaps. The modular version of Maschke's theorem for normal abelian p-Sylows. J. Pure Appl. Algebra, 108(3):257-264, 1996.
MathSciNet
[Har1] Morton E. Harris. Splendid derived equivalences for blocks of finite groups. J. London Math. Soc. (2), 60(1):71-82, 1999.
MathSciNet
[Har2] Morton E. Harris. Categorically equivalent and isotypic blocks. J. Algebra, 166(2):232-244, 1994.
MathSciNet
[HarLin] M. E. Harris and M. Linckelmann. Splendid derived equivalences for blocks of finite p-solvable groups. J. London Math. Soc. (2), 62(1):85-96, 2000.
MathSciNet
[Hol1] Thorsten Holm. Derived categories, derived equivalences and representation theory. In Proceedings of the Summer School on Representation Theory of Algebras, Finite and Reductive Groups (Cluj-Napoca, 1997), pages 33-66, Cluj, 1998. ``Babes-Bolyai'' Univ.
MathSciNet
[Hol2] Thorsten Holm. Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type. J. Algebra, 211(1):159-205, 1999.
MathSciNet
[Hol3] Thorsten Holm. Derived equivalences and Hochschild cohomology for blocks with quaternion defect groups. In Darstellungstheorietage Jena 1996, pages 75-86. Akad. Gemein. Wiss. Erfurt, Erfurt, 1996.
MathSciNet
[Hol4] Thorsten Holm. Derived equivalent tame blocks. J. Algebra, 194(1):178-200, 1997.
MathSciNet
[KauRog] Michael Kauer and Klaus W. Roggenkamp. Higher-dimensional orders, graph-orders, and derived equivalences. J. Pure Appl. Algebra, 155(2-3):181-202, 2001.
MathSciNet
[Kel1] Bernhard Keller. Bimodule complexes via strong homotopy actions. Algebr. Represent. Theory, 3(4):357-376, 2000. Special issue dedicated to Klaus Roggenkamp on the occasion of his 60th birthday.
MathSciNet
[Kel2] Bernhard Keller. Introduction to abelian and derived categories. In Representations of reductive groups, pages 41-61. Cambridge Univ. Press, Cambridge, 1998.
MathSciNet
[Kel3] Bernhard Keller. A remark on tilting theory and DG algebras. Manuscripta Math., 79(3-4):247-252, 1993.
MathSciNet
[Kel4] Bernhard Keller. Deriving DG categories. Ann. Sci. École Norm. Sup. (4), 27(1):63-102, 1994.
MathSciNet
[Kel5] Bernhard Keller. Tilting theory and differential graded algebras. In Finite-dimensional algebras and related topics (Ottawa, ON, 1992), pages 183-190. Kluwer Acad. Publ., Dordrecht, 1994.
MathSciNet
[KonZim] Steffen König and Alexander Zimmermann. Derived equivalences for group rings. Springer-Verlag, Berlin, 1998. With contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard and Raphaël Rouquier.
MathSciNet
[KosMiy] Shigeo Koshitani and Hyoue Miyachi. The principal 3-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic. J. Algebra, 226(2):788-806, 2000.
MathSciNet
[Kun1] Naoko Kunugi. Derived equivalences in symmetric groups. Surikaisekikenkyusho Kokyuroku, (1140):131-135, 2000. Research on the cohomology theory of finite groups (Japanese) (Kyoto, 1999).
MathSciNet
[Kun2] Naoko Kunugi. Derived equivalences for blocks of finite groups. In Proceedings of the 33rd Symposium on Ring Theory and Representation Theory (Shimane, 2000), pages 55-59. Tokyo Univ. Agric. Technol., Tokyo, 2001.
MathSciNet
[Kun3] Naoko Kunugi. Morita equivalent 3-blocks of the 3-dimensional projective special linear groups. Proc. London Math. Soc. (3), 80(3):575-589, 2000.
MathSciNet
[KunWak] Naoko Kunugi and Katsushi Waki. Derived equivalences for the 3-dimensional special unitary groups in non-defining characteristic. J. Algebra, 240(1):251-267, 2001.
MathSciNet
[LanMic] Peter Landrock and Gerhard O. Michler. Principal 2-blocks of the simple groups of Ree type. Trans. Amer. Math. Soc., 260(1):83-111, 1980.
MathSciNet
[Lin1] Markus Linckelmann. On stable equivalences of Morita type. In Derived equivalences for group rings, pages 221-232. Springer, Berlin, 1998.
MathSciNet
[Lin2] Markus Linckelmann. Derived equivalence for cyclic blocks over a P-adic ring. Math. Z., 207(2):293-304, 1991.
MathSciNet
[Lin3] Markus Linckelmann. A derived equivalence for blocks with dihedral defect groups. J. Algebra, 164(1):244-255, 1994.
MathSciNet
[Lin4] Markus Linckelmann. On stable and derived equivalences of blocks and algebras. An. Stiint. Univ. Ovidius Constanta Ser. Mat., 4(1):74-97, 1996. Representation theory of groups, algebras, and orders (Constanta, 1995).
MathSciNet
[Lin5] Markus Linckelmann. Stable equivalences of Morita type for self-injective algebras and p-groups. Math. Z., 223(1):87-100, 1996.
MathSciNet
[Lin6] Markus Linckelmann. On derived equivalences and local structure of blocks of finite groups. Turkish J. Math., 22(1):93-107, 1998.
MathSciNet
[Mar1] Andrei Marcus. Blocks of normal subgroups and Morita equivalences. Ital. J. Pure Appl. Math., (7):77-84, 2000. International Algebra Conference (Iasi, 1998).
MathSciNet
[Mar2] Andrei Marcus. Twisted group algebras, normal subgroups and derived equivalences. Algebr. Represent. Theory, 4(1):25-54, 2001. Special issue dedicated to Klaus Roggenkamp on the occasion of his 60th birthday.
MathSciNet
[Mar3] Andrei Marcus. Stable equivalences, crossed products and symmetric algebras. Mathematica, 40(63)(1):123-129, 1998.
MathSciNet
[Mar4] Andrei Marcus. Derived equivalences and Dade's invariant conjecture. J. Algebra, 221(2):513-527, 1999.
MathSciNet
[Mar5] Andrei Marcus. Equivariant Morita equivalences between blocks of group algebras. Mathematica, 40(63)(2):227-234, 1998.
MathSciNet
[Mar6] Andrei Marcus. Clifford theory of bimodules. Comm. Algebra, 28(4):2029-2041, 2000.
MathSciNet
[Mar7] Andrei Marcus. Graded equivalences and Broué's conjecture. An. Stiint. Univ. Ovidius Constanta Ser. Mat., 4(2):107-126, 1996. Representation theory of groups, algebras, and orders (Constanta, 1995).
MathSciNet
[Mar8] Andrei Marcus. On equivalences between blocks of group algebras: reduction to the simple components. J. Algebra, 184(2):372-396, 1996.
MathSciNet
[Mar9] Andrei Marcus. Homology of fully graded algebras, Morita and derived equivalences. J. Pure Appl. Algebra, 133(1-2):209-218, 1998. Ring theory (Miskolc, 1996).
MathSciNet
[MejSch] Chedva Mejer and Mary Schaps. Separable deformations of blocks with abelian normal defect group and of derived equivalent global blocks. In Representation theory of algebras (Cocoyoc, 1994), pages 505-517. Amer. Math. Soc., Providence, RI, 1996.
MathSciNet
[Nak] Miyako Nakabayashi. Principal 3-blocks with extra-special 3-defect groups of order 27 and exponent 3. Natur. Sci. Rep. Ochanomizu Univ., 50(1):1-8, 1999.
MathSciNet
[Oku] Tetsuro Okuyama. Remarks on splendid tilting complexes. In Shigeo Koshitani, editor, Representation theory of finite groups and related topics, volume 1149 of RIMS Kokyuroku (Proceedings of Research Insititute for Mathematical Sciences, pages 53-59, 2000.
[OkuWak] Tetsuro Okuyama and Katsushi Waki. Decomposition numbers of Sp(4,q). J. Algebra, 199(2):544-555, 1998.
MathSciNet
[Pui1] Lluis Puig. A survey on the local structure of Morita and Rickard equivalences between Brauer blocks. In Representation theory of finite groups (Columbus, OH, 1995), pages 101-126. de Gruyter, Berlin, 1997.
MathSciNet
[Pui2] Lluís Puig. On the local structure of Morita and Rickard equivalences between Brauer blocks. Birkhäuser Verlag, Basel, 1999.
MathSciNet
[Pui3] Lluís Puig. Une correspondance de modules pour les blocs à groupes de défaut abéliens. Geom. Dedicata, 37(1):9-43, 1991.
MathSciNet
[Pui4] Lluís Puig. Algèbres de source de certains blocs des groupes de Chevalley. Astérisque, (181-182):9, 221-236, 1990.
MathSciNet
[Pui5] Lluís Puig. On Joanna Scopes' criterion of equivalence for blocks of symmetric groups. Algebra Colloq., 1(1):25-55, 1994.
MathSciNet
[PuiUsa1] Lluís Puig and Yoko Usami. Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients. J. Algebra, 160(1):192-225, 1993.
MathSciNet
[PuiUsa2] Lluís Puig and Yoko Usami. Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order 4. J. Algebra, 172(1):205-213, 1995.
MathSciNet
[Ric1] Jeremy Rickard. Derived categories and stable equivalence. J. Pure Appl. Algebra, 61(3):303-317, 1989.
MathSciNet
[Ric2] Jeremy Rickard. Morita theory for derived categories. J. London Math. Soc. (2), 39(3):436-456, 1989.
MathSciNet
[Ric3] Jeremy Rickard. Derived equivalences as derived functors. J. London Math. Soc. (2), 43(1):37-48, 1991.
MathSciNet
[Ric4] Jeremy Rickard. Lifting theorems for tilting complexes. J. Algebra, 142(2):383-393, 1991.
MathSciNet
[Ric5] Jeremy Rickard. Translation functors and equivalences of derived categories for blocks of algebraic groups. In Finite-dimensional algebras and related topics (Ottawa, ON, 1992), pages 255-264. Kluwer Acad. Publ., Dordrecht, 1994.
MathSciNet
[Ric6] Jeremy Rickard. Splendid equivalences: derived categories and permutation modules. Proc. London Math. Soc. (3), 72(2):331-358, 1996.
MathSciNet
[Ric7] Jeremy Rickard. The abelian defect group conjecture. In Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), number Extra Vol. II, pages 121-128 (electronic), 1998.
MathSciNet
[Rob] Geoffrey R. Robinson. A note on perfect isometries. J. Algebra, 226(1):71-73, 2000.
MathSciNet
[Rog] K. W. Roggenkamp. Derived equivalences of group rings. An. Stiint. Univ. Ovidius Constanta Ser. Mat., 2:137-151, 1994. XIth National Conference of Algebra (Constanta, 1994).
MathSciNet
[Rou1] Raphaël Rouquier. The derived category of blocks with cyclic defect groups. In Derived equivalences for group rings, pages 199-220. Springer, Berlin, 1998.
MathSciNet
[Rou2] Raphaël Rouquier. Isométries parfaites dans les blocs à défaut abélien des groupes symétriques et sporadiques. J. Algebra, 168(2):648-694, 1994.
MathSciNet
[Rou3] Raphaël Rouquier. From stable equivalences to Rickard equivalences for blocks with cyclic defect. In Groups '93 Galway/St. Andrews, Vol. 2, pages 512-523. Cambridge Univ. Press, Cambridge, 1995.
MathSciNet
[Rou4] Raphaël Rouquier. Some examples of Rickard complexes. An. Stiint. Univ. Ovidius Constanta Ser. Mat., 4(2):169-173, 1996. Representation theory of groups, algebras, and orders (Constanta, 1995).
MathSciNet
[SawWat] Masato Sawabe and Atumi Watanabe. On the principal blocks of finite groups with abelian Sylow p-subgroups. J. Algebra, 237(2):719-734, 2001.
MathSciNet
[Sco] Joanna Scopes. Cartan matrices and Morita equivalence for blocks of the symmetric groups. J. Algebra, 142(2):441-455, 1991.
MathSciNet
[Usa1] Yoko Usami. Perfect isometries for principal blocks with abelian defect groups and elementary abelian 2-inertial quotients. Surikaisekikenkyusho Kokyuroku, (991):36-43, 1997. Group theory and combinatorial mathematics (Japanese) (Kyoto, 1996).
MathSciNet
[Usa2] Yoko Usami. Perfect isometries for blocks with abelian defect groups and dihedral inertial quotients of order 6. J. Algebra, 172(1):113-125, 1995.
MathSciNet
[Usa3] Yoko Usami. Perfect isometries for blocks with abelian defect groups and the inertial quotients isomorphic to D6, Z4×Z2 or Z3×Z3. Surikaisekikenkyusho Kokyuroku, (896):13-25, 1995. Research into algebraic combinatorics (Japanese) (Kyoto, 1993).
MathSciNet
[Usa4] Yoko Usami. Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to Z3×Z3. J. Algebra, 182(1):140-164, 1996.
MathSciNet
[Usa5] Yoko Usami. Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to Z4×Z2. J. Algebra, 181(3):727-759, 1996.
MathSciNet
[Usa6] Yoko Usami. Perfect isometries for principal blocks with abelian defect groups and elementary abelian 2-inertial quotients. J. Algebra, 196(2):646-681, 1997.
MathSciNet
[Wat] Atumi Watanabe. The Glauberman character correspondence and perfect isometries for blocks of finite groups. J. Algebra, 216(2):548-565, 1999.
MathSciNet
[Zim1] Alexander Zimmermann. Derived equivalences of orders. In Representation theory of algebras (Cocoyoc, 1994), pages 721-749. Amer. Math. Soc., Providence, RI, 1996.
MathSciNet
[Zim2] Alexander Zimmermann. Two sided tilting complexes for Green orders and Brauer tree algebras. J. Algebra, 187(2):446-473, 1997.
MathSciNet

This file has been generated by bibtex2html 1.46