Elements of the Representation Theory of Associative Algebras

Erscheinungsjahr 2007
ISBN: 978-0-521-70876-0
Verlag: Cambridge University Press

Buch, Englisch, Band 72, 464 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 675 g

Reihe: London Mathematical Society Student Texts

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.

Autoren/Hrsg.

Simson, Daniel

Skowronski, Andrzej

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

Skowronski, Andrzej
Andrzej Skowronski is a Professor of Mathematics at Nicolaus Copernicus University, Torun.

Simson, Daniel
Daniel Simson is a Professor of Mathematics at Nicolaus Copernicus University, Torun.