Elements Of The Representation Theory Of Associative Algebras Volume 3 Representation Infinite Tilted Algebras
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Elements Of The Representation Theory Of Associative Algebras
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Author : Daniel Simson
language : en
Publisher:
Release Date : 2014-05-14
Elements Of The Representation Theory Of Associative Algebras written by Daniel Simson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Associative algebras categories.
Elements Of The Representation Theory Of Associative Algebras Volume 1
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Author : Ibrahim Assem
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-13
Elements Of The Representation Theory Of Associative Algebras Volume 1 written by Ibrahim Assem and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-13 with Mathematics categories.
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.
Elements Of The Representation Theory Of Associative Algebras Representation Infinite Tilted Algebras
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Author : Ibrahim Assem
language : en
Publisher:
Release Date : 2006
Elements Of The Representation Theory Of Associative Algebras Representation Infinite Tilted Algebras written by Ibrahim Assem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Associative algebras categories.
Representation Infinite Tilted Algebras
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Author : Daniel Simson
language : en
Publisher:
Release Date : 2007
Representation Infinite Tilted Algebras written by Daniel Simson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Associative algebras categories.
Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.
Elements Of The Representation Theory Of Associative Algebras Volume 3 Representation Infinite Tilted Algebras
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Author : Daniel Simson
language : en
Publisher: Cambridge University Press
Release Date : 2007-10-11
Elements Of The Representation Theory Of Associative Algebras Volume 3 Representation Infinite Tilted Algebras written by Daniel Simson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-11 with Mathematics categories.
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.
Elements Of The Representation Theory Of Associative Algebras Techniques Of Representation Theory
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Author : Ibrahim Assem
language : en
Publisher: Cambridge University Press
Release Date : 2006
Elements Of The Representation Theory Of Associative Algebras Techniques Of Representation Theory written by Ibrahim Assem and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Associative algebras categories.
Publisher Description (unedited publisher data) Counter 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.
Advances In Representation Theory Of Algebras
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Author : Ibrahim Assem
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-01-06
Advances In Representation Theory Of Algebras written by Ibrahim Assem and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-06 with Education categories.
The Seventh ARTA (“Advances in Representation Theory of Algebras VII”) conference took place at the Instituto de Matemáticas of the Universidad Nacional Autónoma de México, in Mexico City, from September 24–28, 2018, in honor of José Antonio de la Peña's 60th birthday. Papers in this volume cover topics Professor de la Peña worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen–Macaulay modules, quantum groups and other algebraic structures.
Introduction To The Representation Theory Of Algebras
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Author : Michael Barot
language : en
Publisher: Springer
Release Date : 2014-12-29
Introduction To The Representation Theory Of Algebras written by Michael Barot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-29 with Mathematics categories.
This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module categories, presenting the unicity of the decomposition into indecomposable modules, the Auslander–Reiten theory and the technique of knitting; (ii) the use of combinatorial tools such as dimension vectors and integral quadratic forms; and (iii) deeper theorems such as Gabriel‘s Theorem, the trichotomy and the Theorem of Kac – all accompanied by further examples. Each section includes exercises to facilitate understanding. By keeping the proofs as basic and comprehensible as possible and introducing the three languages at the beginning, this book is suitable for readers from the advanced undergraduate level onwards and enables them to consult related, specific research articles.
Basic Representation Theory Of Algebras
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Author : Ibrahim Assem
language : en
Publisher: Springer Nature
Release Date : 2020-04-03
Basic Representation Theory Of Algebras written by Ibrahim Assem and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-03 with Mathematics categories.
This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander–Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander–Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.
Representations Of Algebras
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Author : Graham J. Leuschke
language : en
Publisher: American Mathematical Soc.
Release Date : 2018
Representations Of Algebras written by Graham J. Leuschke and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held in August 2016, at Syracuse University. This volume includes three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories.