Elements of the representation theory of associative algebras. 3, Representation-infinite tilted algebras / Daniel Simson and Andrzej Skowronski.

Format:

Book

Author/Creator:

Simson, Daniel, author.

Skowroński, Andrzej, author.

Series:

London Mathematical Society student texts ; 72.

London Mathematical Society student texts ; 72

Language:

English

Subjects (All):

Associative algebras.

Representations of algebras.

Physical Description:

1 online resource (xi, 456 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2007.

Language Note:

English

Summary:

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:

Cover; Series-title; Half-title; Title; Copyright; Dedication; Contents; Introduction; Chapter XV Tubular extensions and tubular coextensions of algebras; Chapter XVI Branch algebras; Chapter XVII Tilted algebras of Euclidean type; Chapter XVIII Wild hereditary algebras and tilted algebras of wild type; Chapter XIX Tame and wild representation type of algebras; Chapter XX Perspectives; Bibliography; Index; List of symbols

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and indexes.

ISBN:

1-107-18522-X

1-281-15375-3

9786611153755

0-511-35546-7

0-511-35494-0

0-511-35436-3

0-511-61940-5

0-511-57422-3

0-511-35596-3

OCLC:

187394755