The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Frequently Bought Together
Editorial Reviews
Review
"Benson's exposition is locally clear and engaging...his books are ideally suited for a graduate student or practicing group theorist who wants to reach the current research frontier rapidly. All in all, Benson has done an admirable job of drawing together the most important current ideas relating group representations to topology and group cohomology." J.E. Humphreys, Bulletin of the American Mathematical Society
Book Description
Now in paperback this is the first of two volumes that will provide an introdcution to modern developments in the representation theory of f inite 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.The heart of the book is a lengthy introduction to the represntation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
Product Details
Would you like to update product info or give feedback on images?
|
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
When we come to give a survey of the cohomology of groups in Chapter 2, we shall needed quite a lot of elementary homotopy theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological realisation, above double complex, proper projective resolution, generalised cohomology theory, filtered chain complex, weak topology with respect, periodic modules, homotopy fibre, degeneracy maps, simplicial set, commutative graded ring, degree one elements, cyclic homology, finite projective resolution, spectral sequence, elementary abelian subgroups, edge homomorphism, exact couple, invertible system, periodicity theorem, weak homotopy equivalence, homology isomorphism, horizontal differential, cellular chains, cohomology rings Key Phrases - Capitalized Phrases (CAPs): (learn more)
Eilenberg-Mac Lane, Hilbert's Nullstellensatz, Whitehead's Theorem, Noetherian R-module New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
When we come to give a survey of the cohomology of groups in Chapter 2, we shall needed quite a lot of elementary homotopy theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological realisation, above double complex, proper projective resolution, generalised cohomology theory, filtered chain complex, weak topology with respect, periodic modules, homotopy fibre, degeneracy maps, simplicial set, commutative graded ring, degree one elements, cyclic homology, finite projective resolution, spectral sequence, elementary abelian subgroups, edge homomorphism, exact couple, invertible system, periodicity theorem, weak homotopy equivalence, homology isomorphism, horizontal differential, cellular chains, cohomology rings Key Phrases - Capitalized Phrases (CAPs): (learn more)
Eilenberg-Mac Lane, Hilbert's Nullstellensatz, Whitehead's Theorem, Noetherian R-module New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 6
books:
See all 6 books this book cites
22
books
cite this book:
See all 22 books citing this book
- Cohomology of Groups (Graduate Texts in Mathematics, No. 87) by Kenneth S. Brown in Back Matter
- Homotopy Theory by George W. Whitehead in Back Matter
- Homological Algebra (PMS-19) by Henri Cartan in Back Matter
- Algebraic Topology by Edwin H. Spanier on page 2
- Group Theory (Dover Books on Mathematics) by W. R. Scott in Back Matter
See all 6 books this book cites
- Geometry and Cohomology in Group Theory (London Mathematical Society Lecture Note Series) by Peter H. Kropholler on page 73, and page 106
- Computational Methods for Representations of Groups and Algebras (Progress in Mathematics) by P. Dräxler on page 119, and page 232
- Computational Invariant Theory by Harm Derksen in Back Matter
- A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics) by John McCleary in Back Matter
- Representation Theory of Artin Algebras (Cambridge Studies in Advanced Mathematics) by Maurice Auslander in Back Matter
See all 22 books citing this book
Books on Related Topics
(learn more)
|
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
