Representation Theory of Artin Algebras

1995/01/12 by Maurice Auslander, Idun Reiten, Sverre O. Smalø · 30 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Algebraic structures and combinatorial models #Artin L-function #Computer science #Conductor #Field (mathematics) #Geometry #Library science #Mathematical proof #Mathematics #Presentation (obstetrics) #Pure mathematics #Representation (politics) #Representation theory #Rings, Modules, and Algebras #Subject (documents)

paper · doi:10.1017/cbo9780511623608

openalex publication_date 1995/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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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