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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.
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 1 by : Ibrahim Assem
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 1 written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006-02-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Giving a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field, this title provides an introduction to the representation theory of the representation-infinite hereditary and concealed algebras of Euclidean type.
Book Synopsis Elements of the Representation Theory of Associative Algebras by : Daniel Simson
Download or read book Elements of the Representation Theory of Associative Algebras written by Daniel Simson and published by . This book was released on 2007 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giving a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field, this title provides an introduction to the representation theory of the representation-infinite hereditary and concealed algebras of Euclidean type.
Book Synopsis Elements of the Representation Theory of Associative Algebras by : Daniel Simson
Download or read book Elements of the Representation Theory of Associative Algebras written by Daniel Simson and published by . This book was released on 2014-05-14 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.
Book Synopsis Representation-infinite Tilted Algebras by : Daniel Simson
Download or read book Representation-infinite Tilted Algebras written by Daniel Simson and published by . This book was released on 2007 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.
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.
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras by : Daniel Simson
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras written by Daniel Simson and published by Cambridge University Press. This book was released on 2007-10-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 1 by : Ibrahim Assem
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 1 written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006-02-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type by : Daniel Simson
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type written by Daniel Simson and published by Cambridge University Press. This book was released on 2007-09-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras by : Daniel Simson
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras written by Daniel Simson and published by Cambridge University Press. This book was released on 2007-10-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean Type by : Ibrahim Assem
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean Type written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field
Book Synopsis Elements of the Representation Theory of Associative Algebras by : I Assem
Download or read book Elements of the Representation Theory of Associative Algebras written by I Assem and published by . This book was released on 2014-05-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
