Elements of the Representation Theory of Associative Algebras: Volume 1 PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Elements of the Representation Theory of Associative Algebras: Volume 1 PDF full book. Access full book title Elements of the Representation Theory of Associative Algebras: Volume 1 by Ibrahim Assem. Download full books in PDF and EPUB format.
Author: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 9780521584234
Category : Mathematics
Languages : en
Pages : 480
Get Book Here
Book Description
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: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 1139443186
Category : Mathematics
Languages : en
Pages : 34
Get Book Here
Book Description
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: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 9780521584234
Category : Mathematics
Languages : en
Pages : 480
Get Book Here
Book Description
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: Ibrahim Assem
Publisher:
ISBN: 9780521586313
Category : Mathematics
Languages : en
Pages : 458
Get Book Here
Book Description
Provides an elementary but up-to-date introduction to the representation theory of algebras.
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Get Book Here
Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: Daniel Simson
Publisher:
ISBN:
Category : Associative algebras
Languages : en
Pages : 308
Get Book Here
Book Description
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.
Author: R.S. Pierce
Publisher: Springer Science & Business Media
ISBN: 1475701632
Category : Mathematics
Languages : en
Pages : 448
Get Book Here
Book Description
For many people there is life after 40; for some mathematicians there is algebra after Galois theory. The objective ofthis book is to prove the latter thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that group. The objects of our attention in this book are associative algebras, mostly the ones that are finite dimensional over a field. This subject is ideal for a textbook that will lead graduate students into a specialized field of research. The major theorems on associative algebras inc1ude some of the most splendid results of the great heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and many others. The process of refine ment and c1arification has brought the proof of the gems in this subject to a level that can be appreciated by students with only modest background. The subject is almost unique in the wide range of contacts that it makes with other parts of mathematics. The study of associative algebras con tributes to and draws from such topics as group theory, commutative ring theory, field theory, algebraic number theory, algebraic geometry, homo logical algebra, and category theory. It even has some ties with parts of applied mathematics.
Author: Charles W. Curtis
Publisher: American Mathematical Soc.
ISBN: 0821840665
Category : Mathematics
Languages : en
Pages : 714
Get Book Here
Book Description
Provides an introduction to various aspects of the representation theory of finite groups. This book covers such topics as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations.
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636520
Category : Mathematics
Languages : en
Pages : 296
Get Book Here
Book Description
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: Pavel I. Etingof
Publisher: American Mathematical Soc.
ISBN: 0821853511
Category : Mathematics
Languages : en
Pages : 240
Get Book Here
Book Description
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author: David Jordan
Publisher: Cambridge University Press
ISBN: 1009097350
Category : Mathematics
Languages : en
Pages : 407
Get Book Here
Book Description
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
