The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.
Rezensionen / Stimmen
'... indispensable both for researchers and for graduate students interested in modern representation theory.' European Mathematical Society Newsletter
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises; 19 Line drawings, unspecified
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-521-70876-0 (9780521708760)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Daniel Simson is a Professor of Mathematics at Nicolaus Copernicus University, Torun. Andrzej Skowronski is a Professor of Mathematics at Nicolaus Copernicus University, Torun.
Introduction; 15. Tubular extensions and tubular coextensions; 16. Branch algebras; 17. Tilted algebras of Euclidean type; 18. Wild hereditary algebras and tilted algebras of wild type; 19. Tame and wild representation type of algebras; 20. Perspectives; Bibliography; Index; List of symbols.
