Elements of the Representation Theory of Associative Algebras
Author : Daniel Simson
Publisher :
Page : 470 pages
File Size : 50,67 MB
Release : 2014-05-14
Category : Associative algebras
ISBN : 9780511355967
Author : Daniel Simson
Publisher :
Page : 470 pages
File Size : 50,67 MB
Release : 2014-05-14
Category : Associative algebras
ISBN : 9780511355967
Author : Daniel Simson
Publisher :
Page : 456 pages
File Size : 12,27 MB
Release : 2007
Category : Associative algebras
ISBN : 9780511574221
Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.
Author : Daniel Simson
Publisher : Cambridge University Press
Page : 464 pages
File Size : 38,81 MB
Release : 2007-10-11
Category : Mathematics
ISBN : 9780521708760
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.
Author : Daniel Simson
Publisher : Cambridge University Press
Page : 484 pages
File Size : 44,40 MB
Release : 2007-10-11
Category : Mathematics
ISBN :
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.
Author : Ibrahim Assem
Publisher : Cambridge University Press
Page : 480 pages
File Size : 45,6 MB
Release : 2006-02-13
Category : Mathematics
ISBN : 9780521584234
This is the first of a two-volume set that provides 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. The treatment is self-contained and provides an elementary and up-to-date introduction to the subject using quiver-theoretical techniques and the theory of almost split sequences as well as tilting theory and the use of integral quadratic forms. Much of this material has never appeared before in book form. The book is primarily addressed to graduate students starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the ten chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study. Book jacket.
Author : Daniel Simson
Publisher :
Page : 456 pages
File Size : 41,14 MB
Release : 2007
Category : Associative algebras
ISBN : 9780511355462
Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.
Author : Ibrahim Assem
Publisher : Cambridge University Press
Page : 34 pages
File Size : 14,48 MB
Release : 2006-02-13
Category : Mathematics
ISBN : 1139443186
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
Author : Daniel Simson
Publisher : Cambridge University Press
Page : 320 pages
File Size : 27,86 MB
Release : 2007-09-06
Category : Mathematics
ISBN : 9780521544207
The second 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, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.
Author : Ibrahim Assem
Publisher : Cambridge University Press
Page : 0 pages
File Size : 31,87 MB
Release : 2006
Category : Mathematics
ISBN : 0521836107
Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field
Author : I Assem
Publisher :
Page : 322 pages
File Size : 28,3 MB
Release : 2014-05-14
Category :
ISBN : 9780511355585