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ArticleOriginal scientific text

Title

Real representations of quivers

Authors 1, 2

Affiliations

  1. Mathematisches Institut, Universität München, Theresienstrasse 39, D-8000 München 2, Germany
  2. Institutt for matematiske fag, Norges teknisknaturvitenskapelige universitet, N-7491 Trondheim, Norway

Abstract

The Dynkin and the extended Dynkin graphs are characterized by representations over the real numbers.

Bibliography

  1. [ARS] M. Auslander, I. Reiten and S. O. Smalο, Representation Theory of Artin Algebras, Cambridge Univ. Press, 1995.
  2. [B] S. Brenner, Decomposition properties of some small diagrams of modules, in: Sympos. Math. 13, Academic Press, 1974, 127-141.
  3. [DR] V. Dlab and C. M. Ringel, Representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).
  4. [R1] C. M. Ringel, Representations of K-species and bimodules, J. Algebra 41 (1976), 269-302.
  5. [R2] C. M. Ringel, Finite dimensional hereditary algebras of wild representation type, Math. Z. 161 (1978), 235-255.
  6. [S] S. O. Smalο, Almost split sequences in categories of representations of quivers, Proc. Amer. Math. Soc., to appear.
Colloquium Mathematicum
1999/81/2
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Pages:
293-297
Main language of publication
English
Received
1999-02-24
Accepted
1999-03-12
Published
1999
Exact and natural sciences