Skip to content
Register Sign in
Register Sign in Wishlist
Academic

Unlocking potential with the best learning and research solutions
Look Inside Representation Theory

Representation Theory
A Combinatorial Viewpoint

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: February 2015
  • availability: In stock
  • format: Hardback
  • isbn: 9781107082052

Hardback

Add to wishlist

Other available formats:
eBook

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors

  • This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson–Schensted–Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur–Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.

    • Follows a geometric, modern and accurate approach to the subject
    • Presents detailed discussion on symmetric functions and polynomial representations of general linear groups, in separate chapters
    • Provides solutions to selected problems
    Read more

    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: February 2015
    • format: Hardback
    • isbn: 9781107082052
    • length: 202 pages
    • dimensions: 237 x 159 x 15 mm
    • weight: 0.46kg
    • availability: In stock

  • Table of Contents

    List of tables
    Preface
    1. Basic concepts of representation theory
    2. Permutation representations
    3. The RSK correspondence
    4. Character twists
    5. Symmetric functions
    6. Representations of general linear groups
    Hints and solutions to selected exercises
    Suggestions for further reading
    References
    Index.

    Look Inside

  • Author

    Amritanshu Prasad, Institute of Mathematical Sciences, Chennai
    Amritanshu Prasad is a Professor of Mathematics at the Institute of Mathematical Sciences (IMSc), Chennai. Before joining IMSc in 2003, he was a CRM-CICMA fellow at the Centre de Recherche Mathématiques, a Canadian centre for research in the fundamental sciences located at the Université de Montréal. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the Institut des Hautes Études Scientifiques in Bur-sur-Yvette, near Paris. He has been an Associate of the Indian Academy of Sciences (2005–2010) and is a winner of the Young Scientist Medal of the Indian National Science Academy (2010). He completed his PhD under the supervision of Robert E. Kottwitz at the University of Chicago (2001). He holds a Masters degree from the University of Chicago (1996) and a Bachelor's degree in Statistics from the Indian Statistical Institute, Kolkata (1995). He has taught undergraduate and graduate students in the United States, Canada, and India. His mathematical interests include representation theory, number theory, harmonic analysis and combinatorics.

This title is available for institutional purchase via Cambridge Core

Related Books

  • Combinatorial Matrix Classes

    Combinatorial Matrix Classes
  • Algebraic Combinatorics and the Monster Group

    Algebraic Combinatorics and the Monster Group
  • Elements of the Representation Theory of Associative Algebras

    Elements of the Representation Theory of Associative Algebras
  • Elements of the Representation Theory of Associative Algebras

    Elements of the Representation Theory of Associative Algebras
  • Representations and Cohomology

    Representations and Cohomology

related journals

Browse by related subject

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
×

Save 20% off on your next online purchase with Cambridge Alerts

Receive email alerts on new books, offers and news...

Subscribe

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.
×