Representations of Finite-Dimensional Algebras / Edition 1

by Peter Gabriel, A.I. Kostrikin, B. Keller, Andrei V. Roiter, I.R. Shafarevich

Overview

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

ISBN-13:	9783540537328
Publisher:	Springer Berlin Heidelberg
Publication date:	09/23/1992
Series:	Encyclopaedia of Mathematical Sciences , #73
Edition description:	1992
Pages:	177
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1. Matrix Problems.- 2. Algebras, Modules and Categories.- 3. Radical, Decomposition, Aggregates.- 4. Finitely Spaced Modules.- 5. Finitely Represented Posets.- 6. Roots.- 7. Representations of Quivers.- 8. Spectroids, Quivers, Coherence.- 9. Almost Split Sequences.- 10. Postprojective Components.- 11. Representations of Tame Quivers.- 12. Derivation and Tilting (by B. Keller).- 13. Multiplicative Bases.- 14. Finitely Represented Algebras.- List of Symbols.

Editorial Reviews

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

From the Publisher