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The rational invariants of the tame quivers

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References

  1. Auslander, M., Platzek, M.I., Reiten, I.: Coxeter functors without diagrams. Trans. Amer. Math. Soc.250, 1–46 (1979)

    Google Scholar 

  2. Bernstein, I.N., Gelfand, I.M., Ponomarev, V.A.: Coxeter functors and Gabriel's theorem. Uspechi Mat. Nauk28, 19–33 (1973), transl. Russ. Math. Surveys28, 17–32 (1977)

    Google Scholar 

  3. Borho, W., Kraft, H.: Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comm. Helv.54, 61–104 (1979)

    Google Scholar 

  4. Dlab, V., Ringel, C.M.: Indecomposable representations of graphs and algebras. Memoirs Amer. Math. Soc. 173 (1976)

  5. Donovan, P., Freislich, M.R.: The representation theory of finite graphs and associated algebras. Carleton Math. Lecture Notes 5 (1973)

  6. Gabriel, P.: Unzerlegbare Darstellungen I. Manuscripta Math.6, 71–103 (1972)

    Google Scholar 

  7. Gabriel, P.: Finite representation type is open. In: Springer Lecture Notes 488, 132–155 (1975)

  8. Gabriel, P.: Trends in representation theory. Proceedings Ottawa Conference on Representations of Algebras. To appear (1979)

  9. Gelfand, I.M., Ponomarev, V.A.: Problems of linear algebra and classification, of quadruples of subspaces in a finite-dimensional vector space. Coll. Math. Soc. Bolyai Tihany (Hungary)5, 163–237 (1970)

    Google Scholar 

  10. Kac, V.: Infinite root systems, representations of graphs and invariant theory. Inventiones math.56, 57–92 (1980)

    Google Scholar 

  11. Kronecker, L.: Algebraische Reduktion der Scharen bilinearer Formen. Sitzungsber. Akad. Berlin 763–776 (1890)

  12. Nazarova, L.A.: Representations of quadruples. Izv. Akad. Nauk SSSR, Ser. mat.31, 1361–1377 (1967)

    Google Scholar 

  13. Nazarova, L.A.: Representations of quivers of infinite type. Izv. Akad. Nauk SSSR, Ser. mat.37, 742–791 (1973)

    Google Scholar 

  14. Ringel, C.M.: Representations ofk-species and bimodules. J. Algebra41, 269–302 (1976)

    Google Scholar 

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  1. Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, D-4800, Bielefeld, Federal Republic of Germany

    Claus Michael Ringel

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  1. Claus Michael Ringel
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Ringel, C.M. The rational invariants of the tame quivers. Invent Math 58, 217–239 (1980). https://doi.org/10.1007/BF01390253

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