Algèbres de type de représentation fini

Christine Riedtmann

Séminaire Bourbaki (1984-1985)

  • Volume: 27, page 335-350
  • ISSN: 0303-1179

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Riedtmann, Christine. "Algèbres de type de représentation fini." Séminaire Bourbaki 27 (1984-1985): 335-350. <http://eudml.org/doc/110051>.

@article{Riedtmann1984-1985,
author = {Riedtmann, Christine},
journal = {Séminaire Bourbaki},
keywords = {survey; representation-finite algebras; multiplicative bases; second Brauer-Thrall conjecture},
language = {fre},
pages = {335-350},
publisher = {Société Mathématique de France},
title = {Algèbres de type de représentation fini},
url = {http://eudml.org/doc/110051},
volume = {27},
year = {1984-1985},
}

TY - JOUR
AU - Riedtmann, Christine
TI - Algèbres de type de représentation fini
JO - Séminaire Bourbaki
PY - 1984-1985
PB - Société Mathématique de France
VL - 27
SP - 335
EP - 350
LA - fre
KW - survey; representation-finite algebras; multiplicative bases; second Brauer-Thrall conjecture
UR - http://eudml.org/doc/110051
ER -

References

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  7. [Bo 3] K. Bongartz, A criterion for finite representation type, Math. Ann.269 (1984), 1-12. Zbl0552.16012MR756773
  8. [Bo 4] K. Bongartz, Indecomposables are standard, preprint 1984. MR814147
  9. [BoG] K. Bongartz et P. Gabriel, Covering spaces in representation theory, Invent. Math.65 (1982), 331-378. Zbl0482.16026MR643558
  10. [BrG] O. Bretscher et P. Gabriel, The standard form of a representation-finite algebra, Bull. Soc. Math. France111 (1983), 21-40. Zbl0527.16021MR710374
  11. [BrT] O. Bretscher et G. Todorov, On a theorem of Nazarova and Roiter, Preprint. MR842458
  12. [Fi 1] U. Fischbacher, Zur Kombinatorik der Algebren mit endlich vielen Idealen, Preprint 1985. MR852515
  13. [Fi 2] U. Fischbacher, Une nouvelle preuve d'un théorème de Nazarova et Roiter, C.R. Acad. Sc. Paris, t. 300, Série I, n°9 (1985), 259-262. Zbl0586.16012MR785064
  14. [G 1] P. Gabriel, Représentations indécomposables, Séminaire Bourbaki 26e année (1973-74), n° 444. Zbl0335.17005
  15. [G 2] P. Gabriel, Finite representation type is open, Proc. Ottawa1974, Springer Lecture Notes488, 132-155. Zbl0313.16034MR376769
  16. [G 3] P. Gabriel, Auslander-Reiten sequences and representation finite algebras, Proc. Ottawa1979, Springer Lecture Notes831, 1-71. Zbl0445.16023MR607140
  17. [G 4] P. Gabriel, The universal cover of a representation-finite algebra, Proc. Puebla1980, Springer Lecture Notes903, 68-105. Zbl0481.16008MR654725
  18. [HV] D. Happel et D. Vossieck, Minimal algebras of infinite representation type with preprojective component, Manuscripta Math.42 (1983), 221-243. Zbl0516.16023MR701205
  19. [Hi] D. Higman, Indecomposable representations at characteristic p , Duke Math. J.21 (1954), 377-381. Zbl0055.25503MR67896
  20. [MP] R. Martinez-Villa et J. de la Peña, Automorphisms of representation-finite algebras, Invent. Math.72 (1983), 359-362. Zbl0491.16028MR704396
  21. [NR] L. Nazarova et A. Roiter, Categorical Matrix problems and the Brauer-Thrall conjecture, Preprint Kiev1973. Traduction allemande dans Mitt. Math. Sem. Giessen115 (1975), 1-153. Zbl0315.16021MR485998
  22. [Ri 1] Ch. Riedtmann, Représentation-finite self-injective algebras of class Dn , Compositio Math.49 (1983), 231-282. Zbl0514.16019MR704393
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  25. [Sm] S. Smalø, The inductive step of the 2nd Brauer-Thrall conjecture, Can. J. Math., Vol XXXII, N°2 (1980), 342-349. Zbl0405.16010MR571928

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