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References
Auslander, M.: Representation dimension of Artin algebras. Queen Mary College Mathematical Notes, London (1971)
Auslander, M.: Applications of morphisms determined by objects. Proc. Conf. Representation Theory, Philadelphia (1976). Marcel Dekker (1978), 245–327.
Auslander, M.; Platzek, M.I.; Reiten, I: Coxeter functors without diagrams. Trans. Amer. Math. Soc. 250 (1979), 1–46.
Auslander, M.; Reiten, I.: Representation theory of Artin algebras III, VI. Comm. Algebra 3 (1975), 239–294, 5 (1977), 443–518.
Bernstein, I.N.; Gelfand, I.M.; Ponomarev, V.A.: Coxeter functors and Gabriel's theorem. Uspechi Mat. Nauk 28 (1973); engl. transl. Russian Math. Surveys 28 (1973), 17–32.
Brenner, S.: Decomposition properties of some small diagrams of modules. Symposia Math. Ist. Naz. Alta Mat. 13 (1974), 127–141.
Brenner, S.: Quivers with commutativity conditions and some phenomenology of forms. In: Representations of algebras, Springer LNM. 488 (1975), 29–53.
Brenner, S.: Some co-rank 2 quivers-with-relations and their null roots. Report at ICRA II., see [9]
Brenner, S.; Butler, M.C.R.: Generalization of the Bernstein-Gelfand-Ponomarev reflection functors. These proceedings.
Brenner, S.; Butler, M.C.R.: A note on quadratic forms and representation type for certain algebras. To appear.
Dlab, V.; Ringel, C.M.: Indecomposable representations of graphs and algebras. Memoires Amer. Math. Soc. 173 (1976).
Donovan, P.; Freislich, M.R.: The representation theory of finite graphs and associated algebras. Carleton Lecture Notes 5, Ottawa (1973).
Donovan, P.; Freislich, M.R.: The indecomposable modular representations of certain groups with dihedral Sylow subgroups. Math. Ann. 238 (1978), 207–216.
Donovan, P.; Freislich, M.R.: Indecomposable representations of certain commutative quivers. Bull. Austral. Math. Soc. 20 (1979), 17–34.
Drozd, Ju.A.: Coxeter transformations and representations of partially ordered sets. Funkc. Anal. i. Pril. 8.3 (1974), 34–42. Engl. transl. Funct. Anal. Appl. 8 (1974), 219–225.
Drozd, Ju.A.: On tame and wild matrix problems. Matrix problems, Kiev (1977), 104–114.
Gabriel, P.: Unzerlegbare Darstellungen I. Manuscripta Math. 6 (1972), 71–103.
Gabriel, P.: Représentations indécomposables des ensembles ordonnés. Seminaire Dubreil (Algèbre) (1972–73), 301–304.
Gabriel, P.: Représentations indécomposables. Seminaire Bourbaki Nr. 444. In: Springer LNM.431 (1975).
Gabriel, P.: Trends in representation theory. Report at the workshop, Ottawa (1979).
Gelfand, I.M.; Ponomarev, V.A.: Indecomposable representations of the Lorentz group. Uspechi Mat. Nauk 23.2 (1968), 3–60. Engl. transl. Russian Math. Survey 23.2 (1968), 1–59.
Kleiner, M.M.: Partially ordered sets of finite type. Zap. Naučn. Sem. Lomi 28 (1972), 32–41. Engl. transl. J. Soviet Math. 23 (1975), 607–615.
Loupias, M.: Représentations indécomposables des ensembles ordonnés finis. Thèse Tours (1975). Summary: Indecomposable representations of finite ordered sets. In: Representations of Algebras, Springer LNM 488 (1975), 201–209.
Marmaridis, N.: Darstellungen endlicher Ordnungen. Dissertation Zürich (1978). Summary: Représentations linéaires des ensembles ordonnés. C.R. Acad. Sc. Paris. t. 288 (1979).
Müller, W.: Unzerlegbare Moduln über artinschen Ringen. Math. Z. 137 (1974), 197–226.
Nazarova, L.A.: Representations of quivers of infinite type. Izv. Akad. Nauk SSSR, Ser. Mat. 37 (1973), 752–791.
Nazarova, L.A.: The representations of partially ordered sets of infinite type. Izv. Akad. Nauk SSSR, Ser. Mat. 39 (1975), 963–991. Summary: Partially ordered sets with an infinite number of indecomposable representations. In: Representations of algebras. Springer LNM 488 (1975), 244–252.
Nazarova, L.A.; Rojter, A.V.: Representations of partially ordered sets. Zap. Naučn. Sem. LOMI 28 (1972), 5–31. Engl. transl.: J. Soviet Math. 23 (1975), 585–606.
Nazarova, L.A.; Rojter, A.V.: On a problem of I.M. Gelfand. Funkc. Anal. i. Pril. 7 (1973), 54–69. Engl. transl.: Funct. Anal. Appl. 7 (1973), 299–312.
Nazarova, L.A.; Rojter, A.V.: Categorical matrix problems and the Brauer-Thrall conjecture. Preprint. Inst. Math. Acad. Sci. Kiev (1973). German translation: Mitt. Math. Sem. Giessen 115 (1975).
Otrashevskaja, V.V.: On the representations of one-parameter partially ordered sets. Matrix problems. Kiev (1977), 144–149.
Riedtmann, Chr.: Algebren, DarstellungskÖcher, Überlagerungen und zurück. To appear in Comm. Helv.
Ringel, C.M.: The indecomposable representations of the dihedral 2-groups. Math. Ann. 214 (1975), 19–34.
Ringel, C.M.: The representation type of local algebras. In: Representations of Algebras. Springer LNM 488 (1975), 282–305.
Ringel, C.M.: Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (On algorithms for solving vector space problems I). These proceedings.
Shkabara, A.S.: Commutative quivers of tame type I. Preprint. Kiev (1978).
Shkabara, A.S.: Quivers with relations and DGC. Preprint. Kiev (1978).
Tachikawa, H.: Representations of algebras of trivial extensions. Report at ICRA II.
Zavadskij, A.G.: Quivers with a distinguished path and no cycles which are tame. Preprint. Kiev (1977).
Zavadskij, A.G.; Shkabara, A.S.: Commutative quivers and matrix algebras of finite type. Preprint. Kiev (1976).
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Ringel, C.M. (1980). Tame algebras (on algorithms for solving vector space problems. II). In: Dlab, V., Gabriel, P. (eds) Representation Theory I. Lecture Notes in Mathematics, vol 831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089781
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