Algebra - Representation Theory / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $220.00
Usually ships in 1-2 business days
(Save 26%)
Other sellers (Hardcover)
  • All (3) from $220.00   
  • New (3) from $220.00   


Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development through the powerful tool of almost split sequences and the Auslander-Reiten quiver. Further insight into the homology of finite groups has illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory which pushes the classical theory further. All this can only be seen in connection with an understanding of the structure of special classes of rings. The aim of this book is to introduce the reader to some modern developments in:

• Lie algebras, quantum groups, Hopf algebras and algebraic groups;
• non-commutative algebraic geometry;
• representation theory of finite groups and cohomology;
• the structure of special classes of rings.

Read More Show Less

Product Details

  • ISBN-13: 9780792371137
  • Publisher: Springer Netherlands
  • Publication date: 8/31/2001
  • Series: Nato Science Series II: (closed), #28
  • Edition description: 2001
  • Edition number: 1
  • Pages: 480
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.06 (d)

Table of Contents

Preface; K.W. Roggenkamp, M. Stefanescu. Tilting modules for algebraic and quantum groups; H.H. Anderson. Connections between group representations and cohomology; J.F. Carlson. Invariant theory of algebra representations; M. Domokos. Representation Theory of Orders; O. Iyama. On some problems in PI-theory in characteristic p; A. Kemer. Blocks of category O, double centralizer properties, and Enright's completions; S. Koenig. The Gelfand-Kirillov dimensions of Algebras arising from Representation Theory; Z. Lin. The normalizer of a finite group in its integral group ring and Cech cohomology; Z.S. Marciniak, K.W. Roggenkamp. Representation Theory of Semisimple Hopf Algebras; S. Montgomery. Semigroup cohomology and applications; B.V. Novikov. In Search For Noetherian Algebras; J. Okninski. Cohen-Macaulay representation; D. Popescu. Hereditary abelian categories and almost split sequences; I. Reiten. The abelian defect group conjecture: some recent progress; J. Rickard. 2-dimensional Orders and integral Hecke orders; K.W. Roggenkamp. Invertible ideals and non-commutative generalizations of regular rings; W. Rump. Langlands' philosophy and Koszul duality; W. Soergel. Noncommutative projective geometry; J.T. Stafford. Braid groups as self-equivalences of derived categories; A. Zimmermann. Modules with good filtration and invariant theory; A.N. Zubkov.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)