Algèbres auto-injectives de représentation finie
Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Exposé no. 545, 20 p. 
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     author = {Gabriel, Pierre},
     title = {Alg\`ebres auto-injectives de repr\'esentation finie},
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Gabriel, Pierre. Algèbres auto-injectives de représentation finie, dans Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Exposé no. 545, 20 p. http://www.numdam.org/item/SB_1979-1980__22__20_0/

[1] Auslander M. : Representation theory of Artin algebras II, Comm. Algebra (1974), 269-310 | MR | Zbl

[2] Auslander M. and Retten I.. : Representation theory of algebras III, Comm. Algebra (1975),239-294. | Zbl

[3] Auslander M. and Reiten I.. : Representation theory of algebras IV, Comm. Algebra (1977), 443-518. | MR | Zbl

[4] Auslander M. and Reiten I.. : Representation theory of algebras VI, Comm. Algebra (1978) | MR

[5] Auslander M. and Reiten I.. : Stable equivalence of Artin algebras, Proc. Conf. on Orders, group rings and related topics, Springer Lecture Notes No 353,8-71. | MR | Zbl

[6] Bautista R.. : Irreducible maps and the radical of a category, preprint | MR

[7] Bernstein I.N., Gel'Fand I.M. and Ponomarjov V.A.: Coxeter functors and Gabriel's theorem, translated in Russian Math. Surveys 28 (1973), 17-32. | Zbl

[8] Bongartz K. : Zykellose Algebren sind nicht zügellos, Proceedings of the 2nd Int. Conf. on Rep. of Alg., Ottawa 1979, to appear in Springer Lecture Notes. | MR | Zbl

[9] Curtis C.W. and Reiner I.. : Representation Theory of Finite Groups and Associative Algebras, Wiley, New York 1962. | MR | Zbl

[10] Dade E.C. : Blocks with cyclic defect groups, Ann. of Math. 84 (1966), 20-48 | MR | Zbl

[11] Dlab V. and Ringel C.M. : Indecomposable representations of graphs and algebras, Memoirs Amer. Math. Soc. No 173, Providence (1976). | MR | Zbl

[12] Gabriel P. : Des catégories abéliennes, Bull. Soc. Math. Fr. (1962), 323-448 | Numdam | MR | Zbl

[13] Gabriel P. : Indecomposable representations II, Symp. Math. Ist. Naz. Alta Mat. (1973), 81-104 | MR | Zbl

[14] Gabriel P. and Riedtmann Chr. : Group representations without groups, Comm. Math. Helv. (1979), 240-287. | MR | Zbl

[15] Gel'Fand I.M. and Ponomarjov V.A. : Model algebras and representations of graphs (russian), Funct. Anal. 13 (1979), 1-12. | MR | Zbl

[16] Green J.A. : Walking around the Brauer tree, J. Austral. Math. Soc. 17 (1974), 197-213. | MR | Zbl

[17] Higman D.G. : Indecomposable representations at characteristic p , Duke Math. J. 21 (1954), 377-381. | MR | Zbl

[18] Janusz G.J. : Indecomposable Modules for finite groups, Ann. of Math. 89 (1969), 209-241. | MR | Zbl

[19] Kasch F., Kneser M. und Kupisch H.. : Unzerlegbare modulare Darstellungen endlicher Gruppen mit zyklischer p-Sylow-Gruppe, Arch. Math. 8 (1957), 320-321. | MR | Zbl

[20] Kupisch H. : Projektive Moduln endlicher Gruppen mit zyklischer p-Sylow-Gruppe, J. of Alg. 10 (1968), 1-7. | MR | Zbl

[21] Kupisch H. : Unzerlegbare Moduin endlicher Gruppen mit zyklischer p-Sylow-Gruppe, Math. Z. 108 (1969) 77-104. | MR | Zbl

[22] Kupisch H.. : Basisalgebren symmetrischer Algebren und eine Vermutung von Gabriel, Math. Z. (to appear) | MR

[23] Kupisch H. : Quasi-Frobenius algebras of finite representation type, Proceedings of the 2nd Int. Conf. on Rep. of Alg., Ottawa 1979, to appear in Springer Lecture Notes. | Zbl

[24] Loupias M. : Représentations indécomposables des ensembles ordonnés finis, Thèse 1975 (Tours). | MR

[25] Michler G. : Green correspondence between blocks with cyclic defect groups I, J. of Alg. 39 (1976), 26-51. | MR | Zbl

[26] Peacock R.M. : Blocks with a cyclic defect group, J. of Alg. 34 (1975), 232-259. | MR | Zbl

[27] Riedtmann Chr : Algebren, Darstellungsköcher, Ueberlagerungen und zurück, to appear in Comm. Math. Helv. (1979). | MR | Zbl

[28] Riedtmann Chr : Representation-finite self-injective algebras of class An and Dn , Proceedings of the 2nd Int. Conf. on Rep. of Alg., Ottawa 1979, to appear in Springer Lecture Notes. | MR | Zbl

[29] Riedtmann Chr : Representation-finite self-injective algebras of class E6, E7 and E8 , to appear.

[30] Scherzler E. and Waschbuesch J. : A class of self-injective algebras of finite representation type, Proc. of the 2nd Int. Conf. on Rep. of Alg., Ottawa 1979, to appear in Springer Lecture Notes. | MR | Zbl

[31] Storrer H.H. : Rings of quotients of perfect rings, Math. Z. 122 (1971), 151-165. | MR | Zbl

[32] Ulmer F. : A flatness criterion in Grothendieck Categories, Inventiones 19 (1973), 331-336 | MR | Zbl

[33] Zavadskij A.G. and Nazarova L.A. : Partially ordered sets of tame type, in Matrix problems (russian), Kiev 1978. | Zbl

[34] Eckmann B. : Homotopie et dualité, Col. de Top. Alg., Louvain 1956, 41-53. | MR | Zbl