結合代数の表現論の原理３ Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras (London Mathematical Society Student Texts)

Simson, Daniel/ Skowronski, Andrzej

Cambridge University Press（2007/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 470 p.
• 言語 ENG
• 商品コード 9780521882187
• DDC分類 512.46

基本説明

Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.

Full Description

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.

Contents

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.