Representation Theory of Algebras and Related Topics (Workshop on Representation Theory of Algebras and Related Topics - 1994 : Mexico City, Mexico) CMS Conference Proceedings 19

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. Coils And Multicoil Algebras / Ibrahim Assem And Andrzej Skowronski -- Cohen-macaulay Modules Over Cohen-macaulay Algebras / Yuri A. Drozd -- Geometric Methods In Representation Theory Of Finite Dimensional Algebras / Christof Geiss -- Representations Of Wild Quivers / Otto Kerner -- Shapes Of Connected Components Of The Auslander-reiten Quivers Of Artin Algebras / Shiping Liu -- Varieties Associated With Quivers / Hiraku Nakajima -- The Tits Form Of A Tame Algebra / J.a. De La Pena -- Green's Theorem On Hall Algebras / Claus Michael Ringel -- Homological Theory Of Noetherian Rings / Idun Reiten -- Almost Split Sequences And Triangles For Artin Algebras And Orders / K.w. Roggenkamp -- Module Categories Over Tame Algebras / Andrzej Skowronski -- Some Finite Dimensional Algebras Related To Elliptic Curves / S. Paul Smith -- The Coxeter Transformations Of Representation Infinite Quivers / Martha Takane. Raymundo Bautista, Roberto Martínez-villa, José Antonio De La Peña, Editors. Proceedings Of The Workshop On Representation Theory Of Algebras And Related Topics, Held In Mexico City. Includes Bibliographical References. Representation Theory of Algebras and Related Topics Contents Preface List of Lectures List of Participants Assem and Skowronski: Coils and multicoil algebras Drozd: Cohen-Macaulay modules over Cohen-Macaulay algebras Gei: Geometric methods in representation theory of finite dimensional algebras Kerner: Representations of wild quivers Liu: Shapes of connected components of the Auslander-Reiten quivers of Artin algebras Nakajima: Varieties associated with quivers Pea:The Tits form of a tame algebra Ringel: Green's theorem on Hall algebras Reiten: Homological theory of noetherian rings Roggenkamp: Almost split sequences and triangles for Artin algebras and orders Skowronski: Module categories over tame algebras Smith: Some finite dimensional algebras related to elliptic curves Takane: The Coxeter transformations of representation finite quivers Zimmermann: Analyzing the structure of representations via approximations