Skip to main content

Algorithms in representation theory of algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 1177)

Keywords

  • Fundamental Group
  • Universal Cover
  • Word Problem
  • Turing Machine
  • Full Subcategory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bautista R., Gabriel P., Roiter A. V. and Salmerón L., Representation-finite algebras and multiplicative basis, Invent. math. 217–285 (1985)

    Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Bongartz K., A criterion for finite representation type, Math. Ann. 269, (1984) 1–12.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Bongartz K., Critical simply connected algebras, Man. Math. 46, (1984), 117–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Bretscher O. and Gabriel P., The standard form of a representation finite algebra, Bull. Soc. Math. France, 111 (1983), 21–40.

    MathSciNet  MATH  Google Scholar 

  7. Fischbacher U., Zur Kombinatorik der Algebren mit endlich vielen Idealen, Dissertation Zürich (1985)

    Google Scholar 

  8. Gabriel P., Auslander-Reiten sequences and representation-finite algebras, Proc. ICRA II, Ottawa 1979, Springer Lecture Notes 831, 1–71.

    Google Scholar 

  9. Happel D. and Vossieck D., Minimal algebras of infinite representation type with preprojective component, Man. Math. 42 (1983), 221–243.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Harada M. and Sai Y., On categories of indecomposable modules I, Osaka J. Math. 7 (1970), 323–344.

    MathSciNet  MATH  Google Scholar 

  11. de la Peña J. A., Representation finite algebras whose Auslander Reiten quiver is planar, To appear in J. London Math. Soc. (1985).

    Google Scholar 

  12. de la Peña J. A., Zero relation algebras without oriented cycles of non invertible morphisms, to appear in Proc. Ottawa 84 (1985).

    Google Scholar 

  13. Rotman J., The theory of groups, Allyn and Bacon, Boston (1973).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Fischbacher, U., de la Peña, J.A. (1986). Algorithms in representation theory of algebras. In: Dlab, V., Gabriel, P., Michler, G. (eds) Representation Theory I Finite Dimensional Algebras. Lecture Notes in Mathematics, vol 1177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075262

Download citation

  • DOI: https://doi.org/10.1007/BFb0075262

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16432-6

  • Online ISBN: 978-3-540-39776-2

  • eBook Packages: Springer Book Archive