Skip to main content

Some remarks on representations of quivers and infinite root systems

  • Conference paper
  • First Online:
Representation Theory II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 832))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. DLAB, V., RINGEL, C.M.: Indecomposable representations of graphs and algebras. Memoirs of Amer. Math. Soc. 6, 173, 1–57 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  2. GABRIEL, P.: Indecomposable representations II. Symposia Math. Inst. Naz. Alta Mat. XI, 81–104 (1973).

    MathSciNet  MATH  Google Scholar 

  3. KAC, V.G.: Infinite dimensional algebras, Dedekind’s η-function, classical Möbius function and the very strange formula. Adv. in Math. 30, 85–136 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  4. KAC, V.G.: Infinite root systems, representations of graphs and invariant theory. Inv. Math. 56(1980), 57–92

    Article  MathSciNet  MATH  Google Scholar 

  5. OVSIENKO, S.A.: On the root systems for arbitrary graphs, Matrix Problems, 81–87 (1977).

    Google Scholar 

  6. RINGEL, C.M.: Reflection functors for hereditary algebras, preprint (1979).

    Google Scholar 

  7. SATO, M., KIMURA, T.: A classification of irreducible prehomogeneous vector spaces and their relative invariants. Nagoya Math. J. 65, 1–155 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  8. SERRE, J.-P.: Algèbres de Lie semi-simples complexes, New York-Amsterdam: Benjamin 1966.

    MATH  Google Scholar 

  9. DELIGNE, P.: La conjecture de Weil II, Publ. Math. IHES, to appear.

    Google Scholar 

  10. KOECHER, M.: Positivitätsbereiche im Rn, Amer. J. Math. 79, 3, 575–596 (1957).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Vlastimil Dlab Peter Gabriel

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Kač, V.G. (1980). Some remarks on representations of quivers and infinite root systems. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088472

Download citation

  • DOI: https://doi.org/10.1007/BFb0088472

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics