References
Auslander, M.,Applications of morphisms determined by objects. In:Representation theory of algebras (R. Gordon, ed.). Proceedings of Conference (Philadelphia 1976), pp. 245–327, New York-Basel, Marcel Dekker 1978.
Auslander, M. andReiten, I.,Representation theory of artin algebra IV; Invariants given by almost split sequences, Comm. Algebra5 (1977), 443–518.
Auslander, M. andReiten, I.,Uniserial functors. In:Representation Theory II (V. Dlab, P. Gabriel, eds.) Proceedings (Ottawa 1979), pp. 1–47, Springer Lect. Notes in Math. 832.
Baer, D.,Zerlegungen von Moduln und Injektive über Ringoiden, Arch. Math.36 (1981), 495–501.
Bautista, R., Gabriel, P., Rojter, A. V. andSalmerón, L.,Representation-finite algebras and multiplicative bases, Invent. Math.81 (1985), 217–285.
Bondarenko, M. V.,Representations of dihedral groups over a field of characteristic 2, Math. Sbornik96 (1975), 63–74.
Bongartz, K.,Treu einfach zusammenhängende Algebren I, Comment. Math. Helv.57 (1982), 282–330.
Bongartz, K.,A criterion for finite representation type, Math. Ann. 269 (1984), 1–12.
Bongartz, K.,Critical simply connected algebras, Manuscripta Math.46 (1984), 117–136.
Bongartz, K. andGabriel, P.,Covering spaces in representation theory, Invent. Math.65 (1982), 331–378.
Bongartz, K. andRingel, C. M.,Representation-finite tree algebras, Proc. Puebla 1980, Springer Lect. Notes 903, 39–54.
Bretcher, O. andGabriel, P.,The standard from of a representation-finite algebra, Bull. Soc. Math. France111 (1983), 21–40.
Dlab, V. andRingel, C. M.,Indecomposable representations of graphs and algebras, Memoirs Amer. Math. Soc.173 (1976).
Donovan, P. W. andFreislich, M. R.,The representation theory of finite graphs and associated algebras, Carleton Math. Lect. Notes5 (1973).
Dowbor, P. andSkowroński, A.,On Galois coverings of tame algebras, Arch. Math.44 (1985), 522–529.
Dowbor, P. andSkowroński, A.,On the representation type of locally bounded categories, Tsukuba J. Math.,10 No. 1 (1986), 63–72.
Dowbor, P., Lenzing, H. andSkowroński, A.,Galois coverings of algebras by locally support-finite categories, Proc. Ottawa, 1984, Springer Lect. Notes 1177, 91–93.
Gabriel, P.,Unzerlegbare Darstellungen I, Manuscripta Math.6 (1972), 71–103.
Gabriel, P.,Auslander-Reiten sequences and representation-finite algebras, In:Representation Theory I, Proc. Ottawa 1979, Springer Lect. Notes 831, 1–71.
Gabriel, P.,The universal cover of a representation-finite algebra, Proc. Puebla 1980, Springer Lect. Notes 903, 68–105.
Gelfand, I. M. andPonomarev, V. A.,Indecomposable representations of the Lorentz group, Usp. Math. Nauk23 (1968), 3–60.
Happel, D. andVossieck, D.,Minimal algebras of infinite representation type with preprojective component, Manuscripta Math.42 (1983), 221–243.
Mac Lane, S.,Categories for the working mathematicians, Springer Verlag 1971.
Martinez, R. andde la Peña, J. A.,Automorphisms of representation-finite algebras, Invent. Math.72 (1983), 359–362.
Martinez, R. andde la Peña, J. A.,The universal cover of a quiver with relations, J. Pure Appl. Algebra30 (1983), 277–292.
Nazarova, L. A.,Representations of quivers of infinite type, Izv. Akad. Nauk. SSSR. Ser. Mat.37 (1973), 752–791.
Pogarzały, Z. andSkowroński, A.,On algebras whose indecomposable modules are multiplicity-free, Proc. London Math. Soc.47 (1983), 463–479.
Ringel, C. M.,The indecomposable representatios of dihedral 2-groups, Math. Ann.214 (1975), 19–34.
Skowroński, A.,Tame triangular matrix algebras over Nakayama algebras, J. London Math. Soc., to appear.
Skowroński, A.,The representation type of group algebras In:Abelian groups and modules, Proc. Udine 1984, CISM 287, 517–531, Wien-New York 1984.
Skowroński, A. andWaschbüsch, J.,Representation-finite biserial algebras, J. Reine Angew. Math.345 (1983), 172–181.
Wald, B. andWaschbüsch, J.,Tame biserial algebras, J. Algebra95 (1985), 480–500.
Warfield, R. B.,A Krull-Schmidt theorem for infinite sums of modules, Proc. Amer. Math. Soc.22 (1969), 460–465.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dowbor, P., Skowroński, A. Galois coverings of representation-infinite algebras. Commentarii Mathematici Helvetici 62, 311–337 (1987). https://doi.org/10.1007/BF02564450
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02564450