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9780821803967

Representation Theory of Algebras and Related Topics

by ; ; ;
  • ISBN13:

    9780821803967

  • ISBN10:

    0821803964

  • Format: Paperback
  • Copyright: 1996-03-01
  • Publisher: Amer Mathematical Society

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Summary

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 exhibiton 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.

Table of Contents

Coils and multicoil algebras
Cohen-Macaulay modules over Cohen-Macaulay algebras
Geometric methods in representation theory of finite dimensional algebras
Representations of wild quivers
Shapes of connected components of the Auslander-Reiten quivers of Artin algebras
Varieties associated with quivers
The Tits form of a tame algebra
Green's theorem on Hall algebras
Homological theory of noetherian rings
Auslander-Reiten sequences and triangles for Artin algebras and orders
Module categories over tame algebras
Some finite dimensional algebras related to elliptic curves
The Coxeter transformation of representation infinite quivers
Analyzing the structure of representations via approximations
Table of Contents provided by Publisher. All Rights Reserved.

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