Polynomials and the mod 2 Steenrod Algebra: Representations of GL (London Mathematical Society Lecture Note Series #442)
By: and
Sign Up Now!
Already a Member? Log In
You must be logged into Bookshare to access this title.
Learn about membership options,
or view our freely available titles.
- Synopsis
- This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups. Algebraic and combinatorial treatment of Steenrod algebra. Accessible to those without a background in topology. Largely self-contained with detailed proofs.
- Copyright:
- 2018
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781108355926
- Related ISBNs:
- 9781108414456, 9781108414456, 9781108414456, 9781108414456
- Publisher:
- Cambridge University Press
- Date of Addition:
- 06/15/18
- Copyrighted By:
- Grant Walker, Reginald M. W. Wood
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.