@article{BSMF_1983__111__21_0, author = {Bretscher, O. and Gabriel, P.}, title = {The standard form of a representation-finite algebra}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {21--40}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {111}, year = {1983}, doi = {10.24033/bsmf.1975}, mrnumber = {85g:16014}, zbl = {0527.16021}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/bsmf.1975/} }
TY - JOUR AU - Bretscher, O. AU - Gabriel, P. TI - The standard form of a representation-finite algebra JO - Bulletin de la Société Mathématique de France PY - 1983 SP - 21 EP - 40 VL - 111 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.1975/ DO - 10.24033/bsmf.1975 LA - en ID - BSMF_1983__111__21_0 ER -
%0 Journal Article %A Bretscher, O. %A Gabriel, P. %T The standard form of a representation-finite algebra %J Bulletin de la Société Mathématique de France %D 1983 %P 21-40 %V 111 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.1975/ %R 10.24033/bsmf.1975 %G en %F BSMF_1983__111__21_0
Bretscher, O.; Gabriel, P. The standard form of a representation-finite algebra. Bulletin de la Société Mathématique de France, Tome 111 (1983), pp. 21-40. doi : 10.24033/bsmf.1975. http://archive.numdam.org/articles/10.24033/bsmf.1975/
[AR] Representation-Theory of artin algebras-VI, Commun. Algebra, Vol. 3, 1975, pp. 239-294. | MR | Zbl
and . -[B 1] Zykellose Algebren sind nicht zügellos, in Rep. Theory II, Springer Lect. Notes, Vol. 832, 1980, pp. 97-102. | MR | Zbl
. -[B 2] Treue einfach zusammenhängende Algebren I, Commen. Math. Helv., Vol. 2, 1982, pp. 282-330. | MR | Zbl
. -[BG] Covering spaces in Representation-Theory, Invent. Math., Vol. 65, 1982, pp. 331-378. | MR | Zbl
and . -[BGP] Coxeter Functors and Gabriel's theorem, Uspechi mat. Nauk, Vol. 28, 1973, pp. 19-33. | MR | Zbl
, and . -[BL] Auslander-Reiten quivers for certain algebras of finite representation type, Pub. Prelim. Inst. Mat., Mexico UNAM 8, 1980, pp. 1-28.
and . -[BR] Representation-finite tree algebras, in Repres. of Algebras, Springer Lect. Notes, Vol. 903, 1982, pp. 39-54. | MR | Zbl
and . -[BRL] Selfinjective and Simply connected Algebras, Manus. Math., Vol. 36, 1981, pp. 253-307. | Zbl
, and . -[CG] Simply connected Algebras of Class An and Dn, a preprint, Univ. Zürich, Sept. 1982, pp. 1-21.
and . -[G0] Finite Representation-Type is Open, in Repres. of Algebras, Springer Lect. Notes. Vol. 488, 1974, pp. 132-155. | MR | Zbl
. -[G 1] Auslander-Reiten sequences and representation-finite algebras, in Rep. Theory I, Springer Lect. Notes, Vol. 831, 1980, pp. 1-71. | MR | Zbl
. -[G 2] The universal cover of a representation-finite algebra, in Repres. of Algebras, Springer Lect. Notes, vol. 903, 1982, pp. 68-105. | MR | Zbl
. -[GZ] Calculus of fractions and Homotopy Theory, Ergeb. Math., Vol. 35, Springer Verlag, 1967. | MR | Zbl
and . -[K] Basisalgebren symmetrischer Algebren und eine Vermutung von Gabriel, J. of Algebra, Vol. 55, 1978, pp. 58-73. | MR | Zbl
. -[KS] Symmetric Algebras of Finite Representation-Type, in Repr. Theory II, Springer Lect. Notes, Vol. 832, 1980, pp. 328-368. | MR | Zbl
and . -[L] Représentations indécomposables des ensembles ordonnés finis, Thèse, Université de Tours, 1975, pp. 1-168; Abstract in Repres. of Algebras, Springer Lect. Notes. Vol. 488, 1975, pp. 201-209. | Zbl
. -[ML] Homology, Grundlehren 114, Springer Verlag, 1963. | MR | Zbl
. -[MP 1] On automorphisms of an Auslander category, hand-written notes, 1981.
. and . -[MP 2] Multiplicative basis for algebras whose universal cover has no oriented cycles, preprint. 1982.
and . -[NR] Representations of partially ordered sets, Zap. Naučn. Sem., LOMI 28, 1972, pp. 5-31. | EuDML | MR | Zbl
and . -[RI 1] Algebren, Darstellungsköcher, Ueberlagerungen und zurück, Commen. Math. Helv., Vol. 55, 1980, pp. 199-224. | EuDML | Zbl
. -[RI 2] Representation-finite selfinjective algebras of class An, in Repr. Theory II, Springer Lect. Notes, Vol. 832, 1980, pp. 449-520. | Zbl
. -[RI 3] Representation-finite selfinjective algebras of class Dn, Basler Beiträge zur Mathematik, Preprint 2, 1982, pp. 1-74 to appear in Compos. Math. | Numdam
. -[RO] Generalization of Bongartz' Theorem, Mathematics Institute of the Ukrainian Akad. of Sciences, Kiev, 1981, pp. 1-32.
. -[SZ] Commutative quivers and matrix algebras of finite type, Mathematics Institute of the Ukrainian Akad. of Sciences, Kiev, 1976, pp. 1-52.
and . -[W 1] Symmetrische Algebren vom endlichen Modultyp, J. Reine und Angew. Math., Vol. 321, 1981, pp. 78-98. | EuDML | MR | Zbl
. -[W 2] Universal Coverings of Selfinjective algebras (version 1981 of the Puebla Report), in Repres. of Algebras, Springer Lect. Notes, Vol. 903, 1982, pp. 331-349. | MR | Zbl
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