Skip to content
Register Sign in Wishlist

Schur Algebras and Representation Theory

$60.99 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: January 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521100465

$ 60.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Schur algebras are an algebraic system that provide a link between the representation theory of the symmetric and general linear groups. Dr. Martin gives a self-contained account of this algebra and those links, covering the basic ideas and their quantum analogues. He discusses not only the usual representation-theoretic topics (such as constructions of irreducible modules, the structure of blocks containing them, decomposition numbers and so on) but also the intrinsic properties of Schur algebras, leading to a discussion of their cohomology theory. He also investigates the relationship between Schur algebras and other algebraic structures. Throughout, the approach uses combinatorial language where possible, thereby making the presentation accessible to graduate students. Some topics require results from algebraic group theory, which are contained in an appendix.

    Reviews & endorsements

    "this book can be a source of useful information for beginners in the field of representations of symmetric and general linear groups and finite-dimensional algebras and specialists as well. Most of the treatments are combinatorial, so it is accessible to graduate students...the text is comprehensible and the research area is important and active...the book is readable and will be a handy book for specialists whose interests lie in this area." Jie Du, Mathematical Reviews

    "An excellent and thorough survey of one of the currently liveliest topics in algebra. Congratulations for work well done, Mr, Martin." The Bulletin of Mathematics

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: January 2009
    • format: Paperback
    • isbn: 9780521100465
    • length: 256 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.38kg
    • availability: Available
  • Table of Contents

    Introduction
    1. Polynomial functions and combinatorics
    2. The Schur algebra
    3. Representation theory of the Schur algebra
    4. Schur functors and the symmetric group
    5. Block theory
    6. The q-Schur algebra
    7. Representation theory of Sq (n, r)
    Appendix: a review of algebraic groups
    References
    Indexes.

  • Author

    Stuart Martin, Magdalene College, Cambridge

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×