Skip to main content
SpringerLink
Log in

On algebras of strongly unbounded representation type

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  • [A1]Auslander, M.,Representation theory of Artin algebras II, Comm. Algebra,2 (1974), 269–310.

    Article  MathSciNet  Google Scholar 

  • [A2]Auslander, M.,Applications of morphisms determined by objects. Proc. Conf. On Representation Theory. Philadelphia (1976) Marcel Dekker (1978), 245–327.

  • [BGRS]Bautista, R., Gabriel, P., Roiter, A. V. andSalmerón, L.,Representation-finite algebras and multiplicative bases. To appear in Inv. Math. 1985.

  • [Bo1]Bongartz, K.,Treue einfach zusammenhängende Algebren I, Comment. Math. Helv.57 (1982), 282–330.

    Article  MATH  MathSciNet  Google Scholar 

  • [Bo2]Bongartz, K.,A criterion for finite representation type, Math. Ann.269 (1984), 1–12

    Article  MATH  MathSciNet  Google Scholar 

  • [Bo3]Bongartz, K.,Critical simply connected algebras, Manus. Math.,46 (1984), 117–136.

    Article  MATH  MathSciNet  Google Scholar 

  • [Bo4]Bongartz, K. Indecomposable modules are standard, Comment. Math. Helv., this volume.

  • [BoG]Bongartz, K. andGabriel, P.,Covering spaces in representation theory, Inv. Math.65 (1982), 331–378.

    Article  MATH  MathSciNet  Google Scholar 

  • [BrG]Bretscher, O. andGabriel, P.,The standard form of a representation-finite algebra, Bull. Soc. Math. France,111 (1983), 21–40.

    MATH  MathSciNet  Google Scholar 

  • [BrLRi]Bretscher, O., Läser, C. andRiedtmann Chr., Manus. Math.36 (1981), 253–301.

    Article  MATH  Google Scholar 

  • [G]Gabriel, P. The Universal Cover of a Representation-Finite Algebra. Representations of Algebras. Proceedings, Puebla, México 1980 Lecture Notes in Mathematics 903 Springer Verlag pp. 68–105.

  • [J]Jans, J.,On the indecomposable representations of algebras, Ann. of Math.66 (1957), 418–429.

    Article  MathSciNet  Google Scholar 

  • [MP1]Martínez-Villa, R. andde la Pena, J. A. Automorphisms of representation-finite algebras, Invent. Math.72 (1983), 359–362.

    Article  MATH  MathSciNet  Google Scholar 

  • [MP2]Martinez-Villa, R. andDe la Peña, J. A.,Multiplicative basis for algebras whose universal cover has no oriented cycles. J. Alg.87 (1984), 389–395.

    Article  MATH  Google Scholar 

  • [NR]Nazarova, L. A. andRoiter A. V.,Categorical matrix problems and the Brauer-Thrall conjecture. Preprint Kiev (1973), German version in Mitt. Math. Sem. Giessen115 (1975), 1–153.

    Google Scholar 

  • [P]de la Peña, J. A.,Representation-finite algebras whose Auslander-Reiten quiver is planar. Preprint Publicaciones Preliminares Inst. Matemáticas UNAM 65 (1983).

  • [R]Roiter, A. V.,The unboundedness of the dimension of the indecomposable representations of algebras that have a finite number of indecomposable representations. Izv. Acad. Nauk SSR.32 (1968), 1275–1282.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Matemáticas, U.N.A.M. Ciudad Universitaria, Delegación Coyoacán, 04510, México, D.F., México

    Raymundo Bautista

Authors
  1. Raymundo Bautista
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bautista, R. On algebras of strongly unbounded representation type. Commentarii Mathematici Helvetici 60, 392–399 (1985). https://doi.org/10.1007/BF02567422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567422

Keywords

Search

Navigation