Claus Michael Ringel

Surveys

Algebra

• Liu Shao-Xue:
  The development of the cooperation between China and the West
  Concerning representation theory of finite-dimensional algebras
  Preface to: Liu Shaoxue Wenji. Zouxiang Daishu Biaoshilun. Beijing Normal University Press (2005).
  dvi-File,    pdf-File
• Algebra at the turn of the century.
  Southeast Asian Bulletin of Mathematics 25 (2001), 147-160.
  Chinese Translation in: Algebra in the 21. century.
  DVI-File
• Infinite length modules. Some examples as introduction.
  In: Infinite length modules (ed. H. Krause, C.M.Ringel). Trends in Mathematics. Birkhäuser Verlag (2000) DVI-File

Representation Theory of Finite Dimensional Algebras

• Some remarks concerning tilting modules and tilted algebras.
  Origin. Relevance. Future.
  (An appendix to the Handbook of Tilting Theory.)
  pdf-file (Final version, May 2006)
• Bautista and the Development of the Representation Theory of Artin Algebras
  To appear in Proceedings XV Latinamerican Colloquium of Algebra.
  Contemporary Mathematics
  dvi-file, as pdf-file.

  Combinatorial Representation Theory: History and Future.
  In: Representations of Algebras. Vol. I (ed. D.Happel, Y.B.Zhang). BNU Press. 122-144.
  File: dvi-file and ps-file

  The development of the representation theory of finite dimensional algebras. 1968 - 1975.
  In: Representation Theory and Algebraic Geometry. Ed. A. Martsinkovsky, G. Todorov. London Math. Soc. Lecture Note Series 238. Cambridge University Press, Cambridge 1997, p.89-115.

  On the Gelfand-school: Four papers on linear algebras.
  Introduction to: Representation theory. Selected papers by I.M. Gelfand et al. London Math. Soc. LN Series 69 (1982), 141-156.

  Maurice Auslander and the representation theory of artin algebras.
  In: Representation Theory of Algebras. CMS Conference Proceedings 18. Providence (1996), 4-12.

  Report on the Brauer-Thrall conjectures.
  In: Proceedings ICRA 2. Springer LNM 831 (1980), 104-136.

  Tame algebras.
  In: Proceedings ICRA 2. Springer LNM 831 (1980), 137-287.

  Unzerlegbare Darstellungen endlich-dimensionaler Algebren.
  Jber. d. Dt. Math. Verein. 85 (1983), 86-105.

  Indecomposable representations of finite dimensional algebras.
  Proceedings International Conference of Mathematicians. Warszawa 1983, (1984), 425-436.

  Recent advances in the representation theory of finite dimensional algebras. (1984-1990).
  In: Progress in Math. 95 (1991), 141-192.

  The use of the representation theory of finite-dimensional hereditary algebras.
  In: Proceedings First China-Japan International Symposium on Ring Theory. Okayama (1992), 121-126.

  Comments to the article Representation of an associative algebra by Roiter in Encyclopaedia of Mathematics

Hall algebras

• From representations of quivers via Hall and Loewy algebras to quantum groups.
  Proceedings Novosibirsk Conference 1989. Contemporary Mathematics 131 (Part 2) (1992), 381-401
• Lie algebras (arising in representation theory).
  In: Representations of Algebras and Related Topics (ed. H. Tachikawa and S. Brenner). London Math. Soc. Lecture Note Series 168. Cambridge University Press (1992), 284-291.
• ELAM-Lectures.. The Hall algebra approach to quantum groups. Proceedings
  E.L.A.M., Mexico, D.F. and Guanajuato 1993. Aportaciones Matemáticas Comunicaciones 15 (1995), 85-114.
  Here is the ps-file. (Some graphics are missing in the file available here.)
• Green's Theorem on Hall algebras.
  In: Representation Theory of Algebras and Related Topics. CMS Conference Proceedings 19. Providence (1996), 185-245.

Quasi-hereditary Algebras

• The module theoretical approach to quasi-hereditary algebras. (With V. Dlab).
  In: Representations of Algebras and Related Topics (ed. H. Tachikawa and S. Brenner). London Math. Soc. Lecture Note Series 168. Cambridge University Press (1992), 200-224