Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras PDF Download
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Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1998-06-18 |
Genre | : Mathematics |
ISBN | : 9780521636537 |
Download Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras Book in PDF, ePub and Kindle
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Author | : David J. Benson |
Publisher | : |
Total Pages | : 279 |
Release | : 1991 |
Genre | : Homology theory |
ISBN | : |
Download Representations and Cohomology Book in PDF, ePub and Kindle
Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 1991-08-22 |
Genre | : Mathematics |
ISBN | : 9780521636520 |
Download Representations and Cohomology: Volume 2, Cohomology of Groups and Modules Book in PDF, ePub and Kindle
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1991-03-21 |
Genre | : Mathematics |
ISBN | : 9780521361347 |
Download Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras Book in PDF, ePub and Kindle
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.
Author | : Charles W. Curtis |
Publisher | : American Mathematical Soc. |
Total Pages | : 722 |
Release | : 1966 |
Genre | : Mathematics |
ISBN | : 9780821869451 |
Download Representation Theory of Finite Groups and Associative Algebras Book in PDF, ePub and Kindle
Author | : David J. Benson |
Publisher | : |
Total Pages | : 279 |
Release | : 1991 |
Genre | : Homology theory |
ISBN | : |
Download Representations and Cohomology Book in PDF, ePub and Kindle
Author | : Alexander Zimmermann |
Publisher | : Springer |
Total Pages | : 720 |
Release | : 2014-08-15 |
Genre | : Mathematics |
ISBN | : 3319079689 |
Download Representation Theory Book in PDF, ePub and Kindle
Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field. Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced. Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.
Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1998-06-18 |
Genre | : Mathematics |
ISBN | : 9780521636537 |
Download Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras Book in PDF, ePub and Kindle
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.
Author | : Ibrahim Assem |
Publisher | : Cambridge University Press |
Total Pages | : 480 |
Release | : 2006-02-13 |
Genre | : Mathematics |
ISBN | : 9780521584234 |
Download Elements of the Representation Theory of Associative Algebras: Volume 1 Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 458 |
Release | : 2006-02-13 |
Genre | : Mathematics |
ISBN | : 9780521586313 |
Download Elements of the Representation Theory of Associative Algebras: Volume 1 Book in PDF, ePub and Kindle
Provides an elementary but up-to-date introduction to the representation theory of algebras.