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Representation Theory of Algebras and Related Topics
Edited by: Raymundo Bautista, Roberto Martínez-Villa, and José Antonio de la Peña, Universidad Nacional Autonoma de Mexico (UNAM), Mexico City, Mexico
A co-publication of the AMS and Canadian Mathematical Society.
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Conference Proceedings, Canadian Mathematical Society
1996; 406 pp; softcover
Volume: 19
ISBN-10: 0-8218-0396-4
ISBN-13: 978-0-8218-0396-7
List Price: US$116
Member Price: US$92.80
Order Code: CMSAMS/19
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These proceedings report a number of lecture series delivered during the Workshop on Representation Theory of Algebras and Related Topics held at Universidad Nacional Autonoma de Mexico (UNAM) in August 1994.

The workshop was dedicated to recent advances in the field and its interaction with other areas of mathematics, such as algebraic geometry, ring theory, and representation of groups. The program of the Workshop consisted of 9 lecture series. In addition there was a Tame Day consisting of 6 lectures reporting on the recent advances in the study of tame algebras and their module categories.

During the Workshop there was a session devoted to the exhibition of computer programs developed by participants. These programs are implementations of algorithms related to the calculation of important aspects of algebras and their module categories.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Readership

Graduate students and research mathematicians interested in associative rings and algebras.

Table of Contents

  • I. Assem and A. Skowroński -- Coils and multicoil algebras
  • Y. A. Drozd -- Cohen-Macaulay modules over Cohen-Macaulay algebras
  • C. Geiss -- Geometric methods in representation theory of finite dimensional algebras
  • O. Kerner -- Representations of wild quivers
  • S. Liu -- Shapes of connected components of the Auslander-Reiten quivers of Artin algebras
  • H. Nakajima -- Varieties associated with quivers
  • J. l. Peña -- The Tits form of a tame algebra
  • C. M. Ringel -- Green's theorem on Hall algebras
  • I. Reiten -- Homological theory of noetherian rings
  • K. W. Roggenkamp -- Auslander-Reiten sequences and triangles for Artin algebras and orders
  • A. Skowroński -- Module categories over tame algebras
  • S. P. Smith -- Some finite dimensional algebras related to elliptic curves
  • M. Takane -- The Coxeter transformation of representation infinite quivers
  • B. H. Zimmermann -- Analyzing the structure of representations via approximations
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