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Representations of Finite-Dimensional Algebras : Representations of Finite-Dimensional Algebras Representations of Finite-dimensional Algebras v. 8 - Peter Gabriel

Representations of Finite-Dimensional Algebras

Representations of Finite-Dimensional Algebras Representations of Finite-dimensional Algebras v. 8

By: Peter Gabriel, Andrei V. Roiter, Aleksei I. Kostrikin (Editor), I. R. Shafarevich (Editor), B. Keller (Contribution by)

Hardcover

Published: 1st September 1992
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The monograph aims at a general outline of old and new results on representations of finite-dimensional algebras. In a theory which developed rapidly during the last two decades, the lack of textbooks is the main impediment for novices. Therefore special attention is paid to the foundations, and proofs are included for statements which are elementary, serve comprehension or are scarcely available. In this manner the authors try to lead the reader up to a point where he can find his way through the original literature. The discourse is centered around the fairly complete theory of finitely-represented posets and algebras. The monograph provides many examples and all the needed background on decomposition theorems, quivers, almost split sequences and derived categories. It includes a survey on representations of tame and wild quivers, lists of critical algebras and a proof of the old conjectures of Brauer and Thrall.

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 fur Mathematik, 1996

Representations of Finite-dimensional Algebras
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540537328
ISBN-10: 3540537325
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 177
Published: 1st September 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.2
Weight (kg): 0.99