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References
Auslander, M.-Reiten, I.: Representation theory of artin algebras IV, Communications in algebra 5(5), 443–518 (1977).
Auslander, M.-Reiten, I.: Modules determined by their composition factors, preprint Univ.of Trondheim 1983, 33 pages.
Auslander, M.-Smalø, S.O.: Almost split sequences in subcategories, J. of Algebra, Vol. 69, No.2 1981 (426–454), Addendum in J. of Algebra Vol. 71, 1981, 592–594.
Bautista, R.-Brenner, S.: Replication numbers for non-Dynkin sectional subgraphs in finite Auslander-Reiten quivers and some properties of Weyl roots, Proc. London Math. Soc. (3), 47 (1983), 429–462.
Bautista, R.-Larrión, F.: Auslander-Reiten quivers for certain algebras of finite representation type, J. of London Math. Soc. 26 (1982), 43–52.
Bautista, R.-Martinez, R.: Representations of partially ordered sets and 1-Gorenstein algebras, Proc. conf. in ring theory, Antwerp 1978, Marcel dekker, New York, 1979, 385–431.
Bernstein, I.N.-Gelfand, I.M.-Ponomarev, V.A.: Coxeter functors and Gabriels theorem, Russian Math. Surveys 28 (1973), 17–32.
Bongartz, K.: Treue einfach zusammenhängende Algebren I, II, Comment. Math. Helv. 57 (1982), 282–330 and computer list, Univ. of Zürich 1982.
Bongartz, K.: Algebras and quadratic forms, J. of London Math. Soc. (2), 28 (1983), 461–469.
Bongartz, K.-Gabriel, P.: Covering spaces in representation theory, Invent.math.65, 331–378.
Brenner, S.-Butler, M.C.R.: Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors, Lecture notes in mathematics 832, Springer Verlag, Berlin 1980, 103–170.
Drozd, Y.A.: Coxeter transformations and representations of partially ordered sets, Funkcional Anal. i Priložen, 8 (1974) 34–42.
Gabriel, P.: Unzerlegbare Darstellungen I, Man. Math. 6 (1972), 71–103.
Gabriel, P.: Indecomposable representations II, Istituto di Alta Mate-matica, Symposia mathematica, Vol. XI (1973).
Gabriel, P.: Auslander-Reiten sequences and representation finite algebras, Springer Lect. not. 831 (1980), 1–71.
Gabriel, P.: The universal cover of a representation finite algebra, Springer Lect. not. 903 (1981), 68–105.
Happel, D.-Ringel, C.M.: Tilted algebras, Trans. Amer. Math. Soc. 274, 399–443 (1982).
Kleiner, M.M.: Partially ordered sets of finite type, Zap. Naucn. Sem. LOMI 28 (1972), 32–41.
Nazarova, L.A.-Roiter, A.V.: Representations of partially ordered sets, Zap. Naucn. Sem. LOMI 28 (1972).
Ovsienko, S.A.: Boundedness of roots of weakly positive integer quadratic forms (Russian), in Representations and quadratic forms 1979, Math. Inst. of Kiev, AN YCP.
Roggenkamp, K.W.: Auslander-Reiten species for socle-determined categories of hereditary algebras and for generalized Bäckström orders, Mitt. Math. Sem. Giessen, Heft 159, 1983.
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Bongartz, K. (1985). Quadratic forms and finite representation type. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074545
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DOI: https://doi.org/10.1007/BFb0074545
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