Representation theory of Artin algebras

By:

Auslander, Maurice

Contributor(s):

Material type: Book

BookSeries: Cambridge studies in advanced mathematics ; 36Publication details: Cambridge: Cambridge University Press, 1997.Description: xiv, 425 p. : ill. ; pb, 23 cmISBN:

9780521599238

Subject(s):

DDC classification:

512.4 AUS

Summary: This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.4 AUS (Browse shelf(Opens below))	1	Available		030155

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Previous	512.32 SCH Galois representations and (Phi, Gamma)-Modules	512.32 SZA Galois groups and fundamental groups	512.33 GRI Topics in transcendental algebraic geometry	512.4 AUS Representation theory of Artin algebras	512.4 BER Introduction to rings and modules: with K-theory in view	512.4 KNO Infinite sequences and series	512.4 WIN Cohen-Macaulay rings	Next

Includes bibliographical references (p. 413-420) and index.

This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises.

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