Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Representations and Cohomology
Author: David J. Benson
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 279
Book Description
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 279
Book Description
Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636520
Category : Mathematics
Languages : en
Pages : 296
Book Description
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Publisher: Cambridge University Press
ISBN: 9780521636520
Category : Mathematics
Languages : en
Pages : 296
Book Description
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521361347
Category : Mathematics
Languages : en
Pages : 260
Book Description
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.
Publisher: Cambridge University Press
ISBN: 9780521361347
Category : Mathematics
Languages : en
Pages : 260
Book Description
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.
Representation Theory of Finite Groups and Associative Algebras
Author: Charles W. Curtis
Publisher: American Mathematical Soc.
ISBN: 9780821869451
Category : Mathematics
Languages : en
Pages : 722
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821869451
Category : Mathematics
Languages : en
Pages : 722
Book Description
Representations and Cohomology
Author: David J. Benson
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 279
Book Description
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 279
Book Description
Representation Theory
Author: Alexander Zimmermann
Publisher: Springer
ISBN: 3319079689
Category : Mathematics
Languages : en
Pages : 720
Book Description
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.
Publisher: Springer
ISBN: 3319079689
Category : Mathematics
Languages : en
Pages : 720
Book Description
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.
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Book Description
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.
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
Book Description
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.
Elements of the Representation Theory of Associative Algebras: Volume 1
Author: Ibrahim Assem
Publisher: Cambridge University Press
ISBN: 9780521584234
Category : Mathematics
Languages : en
Pages : 480
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.
Publisher: Cambridge University Press
ISBN: 9780521584234
Category : Mathematics
Languages : en
Pages : 480
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.
Elements of the Representation Theory of Associative Algebras: Volume 1
Author: Ibrahim Assem
Publisher:
ISBN: 9780521586313
Category : Mathematics
Languages : en
Pages : 458
Book Description
Provides an elementary but up-to-date introduction to the representation theory of algebras.
Publisher:
ISBN: 9780521586313
Category : Mathematics
Languages : en
Pages : 458
Book Description
Provides an elementary but up-to-date introduction to the representation theory of algebras.