The present notes are a more or" less faithful reproduction of lectures given at the Workshop
on the present trends in Representation Theory, Carleton University, Ottawa, 19F9. Some …

The aim of this paper is to introduce τ-tilting theory, which 'completes'(classical) tilting theory
from the viewpoint of mutation. It is well known in tilting theory that an almost complete tilting …

Let C be a skeletally small abelian category with only a finite number of non-isoaorphic
simple objects and such that each object in C has finite length. Then C has a finite number of …

This book is an introduction to the use of triangulated categories in the study of
representations of finite-dimensional algebras. In recent years representation theory has …

This textbook is an introduction to the representation theory of finite-dimensional algebras
with a strong emphasis on quivers and their representations. The book is intended to be …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

Page 1 Lecture Notes in Mathematics 1099 Claus M. Ringel Tame Algebras and Integral
Quadratic Forms Springer Page 2 Lecture Notes in Mathematics Edited by A. Dold and B …

Let $ A $ be a finite dimensional hereditary algebra over a field, with $ n $ simple $ A $-
modules. An $ A $-module $ T_A $ with $ n $ pairwise nonisomorphic indecomposable …

In the famous paper [AR-1111 Auslander and Reiten introduced what now are called
Auslander-Reiten sequences, and one consequence has been the definition of several …

From the reviews:"... They (Gabriel and Roiter) are pioneers in this subject and they have
included proofs for statements which in their opinions are elementary, those which will help …