Skip to content
Register Sign in Wishlist
Lectures on Invariant Theory

Lectures on Invariant Theory

$98.95 (P)

Part of London Mathematical Society Lecture Note Series

  • Date Published: August 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521525480

$ 98.95 (P)

Add to cart Add to wishlist

Other available formats:

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 providing details of the course you are teaching.

Product filter button
About the Authors
  • This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization.

    • Accessible style with many examples and exercises
    • Based on the author's teaching at Michigan and Harvard
    Read more

    Reviews & endorsements

    'The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author's passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public's disposal …' Zentralblatt für Mathematik

    'Besides interested graduate students and experts, I recommend the book also to mathematicians and theoretical physicists whose research may require invariant theory, representation theory or algebraic geometry.' Acta Scientiarum Mathematicarum

    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: August 2003
    • format: Paperback
    • isbn: 9780521525480
    • length: 238 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.36kg
    • availability: Available
  • Table of Contents

    1. The symbolic method
    2. The first fundamental theorem
    3. Reductive algebraic groups
    4. Hilbert's fourteenth problem
    5. Algebra of covariants
    6. Quotients
    7. Linearization of actions
    8. Stability
    9. Numerical criterion of stability
    10. Projective hypersurfaces
    11. Configurations of linear subspaces
    12. Toric varieties.

  • Author

    Igor Dolgachev, University of Michigan, Ann Arbor

Sorry, this resource is locked

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

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 Please see the permission section of the 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.


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.