Elements Of The Representation Theory Of Associative Algebras Volume 1
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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 Volume 1
DOWNLOAD
Author : Ibrahim Assem
language : en
Publisher:
Release Date : 2006-02-13
Elements Of The Representation Theory Of Associative Algebras Volume 1 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 2006-02-13 with Mathematics categories.
Provides an elementary but up-to-date introduction to the representation theory of algebras.
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.
Elements Of The Representation Theory Of Associative Algebras
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Author : Daniel Simson
language : en
Publisher:
Release Date : 2007
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 2007 with Associative algebras categories.
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.
Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras
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Author : D. J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 1998-06-18
Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras written by D. J. Benson 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 1998-06-18 with Mathematics categories.
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Symmetries Of Algebras Volume 1
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Author : Chelsea Walton
language : en
Publisher: 619 Wreath Publishing
Release Date : 2024-07-08
Symmetries Of Algebras Volume 1 written by Chelsea Walton and has been published by 619 Wreath Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-08 with Mathematics categories.
This is the first volume of a graduate-level textbook series in the area of Algebraic Quantum Symmetry. The focus of this book series is on how one can do abstract algebra in the setting of monoidal categories. It is intended for readers who are familiar with abstract vector spaces, groups, rings, and ideals, and the author takes care in introducing categorical concepts from scratch. This book series on Symmetries of Algebras is intended to serve as learning books to newcomers to the area of research, and a carefully curated list of additional textbooks and articles are featured at the end of each chapter for further exploration. There are also numerous exercises throughout the series, with close to 200 exercises in Volume 1 alone. If you enjoy algebra, and are curious about how it fits into a broader context, this is for you.
Representations And Cohomology Volume 2 Cohomology Of Groups And Modules
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Author : D. J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 1991-08-22
Representations And Cohomology Volume 2 Cohomology Of Groups And Modules written by D. J. Benson 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 1991-08-22 with Mathematics categories.
This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a background reference chapter, then proceeds to an overview of the algebraic topology and K-theory associated with cohomology of groups, especially the work of Quillen. Later chapters look at algebraic and topological proofs of the finite generation of the cohomology ring of a finite group, and an algebraic approach to the Steenrod operations in group cohomology. The book cumulates in a chapter dealing with the theory of varieties for modules. Much of the material presented here has never appeared before in book form. Consequently students and research workers studying group theory, and indeed algebra in general, will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
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.
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.
Cell Complexes Poset Topology And The Representation Theory Of Algebras Arising In Algebraic Combinatorics And Discrete Geometry
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Author : Stuart Margolis
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-30
Cell Complexes Poset Topology And The Representation Theory Of Algebras Arising In Algebraic Combinatorics And Discrete Geometry written by Stuart Margolis and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-30 with Mathematics categories.
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