Fr. 199.00

Representations of Finite-Dimensional Algebras

English · Paperback / Softback

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Description

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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

List of contents

Matrix Problems.- Algebras, Modules and Categories.- Radical, Decomposition, Aggregates.- Finitely Spaced Modules.- Finitely Represented Posets.- Roots.- Representations of Quivers.- Spectroids, Quivers, Coherence.- Almost Split Sequences.- Postprojective Components.- Representations of Tame Quivers.- Derivation and Tilting (by K. Keller).- Multiplicative Bases.- Finitely Represented Algebras.- Bibliography.- Subject Index.- List of Symbols.

Summary

The material covered here could until the appearance of the hardcover edition, published as EMS 73, only be found scattered about the literature. The authors, Gabriel (Zürich) and Roiter (Kiev), are widely known for their contributions to this field.

Additional text

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

Report

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

Product details

Authors P. Gabriel, Pete Gabriel, Peter Gabriel, A. V. Roiter, Andrei V Roiter, Andrei V. Roiter
Assisted by I Kostrikin (Editor), A I Kostrikin (Editor), A. I. Kostrikin (Editor), A.I. Kostrikin (Editor), Aleksei I. Kostrikin (Editor), R Shafarevich (Editor), R Shafarevich (Editor), I. R. Shafarevich (Editor), I.R. Shafarevich (Editor), Igor R. Shafarevich (Editor)
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 21.06.2001
 
EAN 9783540629900
ISBN 978-3-540-62990-0
No. of pages 177
Weight 294 g
Illustrations V, 177 p.
Series Encyclopaedia of Mathematical Sciences
Encyclopaedia of Mathematical Sciences
Subjects Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra

Algebra, B, Mathematics and Statistics, quivers, directed graphs, partially ordered sets, finite-dimensional algebras, modules and their representations

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