Skip to main content
Log in

A criterion for finite representation type

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Auslander, M., Reiten, I.: Representation theory of artin algebras. III. Comm. Alg.3, 239–294 (1975)

    Google Scholar 

  2. Bautista, R., Larrión, F.: Auslander-Reiten quivers for certain algebras of finite representation type. J. Lond. Math. Soc.26, 43–52 (1982).

    Google Scholar 

  3. Bongartz, K.: Treue einfach zusammenhängende Algebren. I. Comment. Math. Helv.57, 282–330 (1982).

    Google Scholar 

  4. Bongartz, K.: Critical simply connected algebras. manuscripta math.46, 117–136 (1984)

    Google Scholar 

  5. Bongartz, K.: Algebras and quadratic forms. J. London Math. Soc.28, 461–469 (1983)

    Google Scholar 

  6. Bongartz, K., Gabriel, P.: Covering spaces in representation theory. Invent. math.65, 331–378 (1981)

    Google Scholar 

  7. Bretscher, O., Gabriel, P.: The standard form of a representation-finite algebra. Bull. Soc. math. France111, 21–40 (1983)

    Google Scholar 

  8. Fischbacher, U., Gabriel, P.: The representation-finite algebras with three simple modules. Preprint 1983

  9. Gabriel, P.: The universal cover of a representation-finite algebra. Lecture Notes in Mathematics, Vol. 903, pp. 68–105. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  10. Gelfand, I.M., Ponomarev, V.A.: Indecomposable representations of the Lorentz group. Usp. Mat. Nauk23, 3–60 (1968)

    Google Scholar 

  11. Happel, D., Vossieck, D.: Minimal algebras of infinite representation type with preprojective component. manuscripta math.42, 221–243 (1983)

    Google Scholar 

  12. Peña, J.A. de la, Martinez-Villa, R.: Automorphisms of Auslander categories. Invent. math.72, 359–362 (1983)

    Google Scholar 

  13. Nazarova, L.A., Roiter, A.V.: Categorial matrix problems and the Brauer-Thrall conjecture. Inst. Math. Acad. Sci. Kiev, preprint 1973

  14. Roiter, A.V.: Generalization of Bongartz' theorem. Math. Inst. Ukrain. Akad. Sci. Kiev 1–32 (1981)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bongartz, K. A criterion for finite representation type. Math. Ann. 269, 1–12 (1984). https://doi.org/10.1007/BF01455993

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01455993

Keywords

Navigation