Representations of Finite-Dimensional Algebras

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Springer Science & Business Media, Oct 8, 1992 - Mathematics - 177 pages
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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 further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." The Mathematical Gazette, 1993
"... The standard of this text is high and will be definitely appreciated by the algebraic community." Monatshefte Mathematik, 1994
"..This book is very welcome because it presents some basic material and at the same time it presents some new insights of the theory. ..." Zentralblatt für Mathematik, 1996
 

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Contents

1 Matrix Problems
4
2 Algebras Modules and Categories
15
3 Radical Decomposition Aggregates
25
4 Finitely Spaced Modules
33
5 Finitely Represented Posets
46
6 Roots
56
7 Representations of Quivers
62
8 Spectroids Quivers Coherence
73
10 Postprojective Components
101
11 Representations of Tame Quivers
120
12 Derivation and Tilting
130
13 Multiplicative Bases
142
14 Finitely Represented Algebras
156
Bibliography
166
Subject Index
173
List of Symbols
176

9 Almost Split Sequences
87

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