Representation Theory of Algebras and Related Topics

Representation Theory of Algebras and Related Topics

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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.
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Product details

  • Paperback | 406 pages
  • 172.7 x 251.5 x 15.2mm | 725.76g
  • American Mathematical Society
  • Providence, United States
  • English
  • 0821803964
  • 9780821803967

Table of contents

Coils and multicoil algebras by I. Assem and A. Skowronski Cohen-Macaulay modules over Cohen-Macaulay algebras by Y. A. Drozd Geometric methods in representation theory of finite dimensional algebras by C. Geiss Representations of wild quivers by O. Kerner Shapes of connected components of the Auslander-Reiten quivers of Artin algebras by S. Liu Varieties associated with quivers by H. Nakajima The Tits form of a tame algebra by J. 1. Pena Green's theorem on Hall algebras by C. M. Ringel Homological theory of noetherian rings by I. Reiten Auslander-Reiten sequences and triangles for Artin algebras and orders by K. W. Roggenkamp Module categories over tame algebras by A. Skowronski Some finite dimensional algebras related to elliptic curves by S. P. Smith The Coxeter transformation of representation infinite quivers by M. Takane Analyzing the structure of representations via approximations by B. H. Zimmermann.
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