eBook - PDF
Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem
- English
- PDF
- Available on iOS & Android
eBook - PDF
Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem
About this book
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.
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by Grant Walker,Reginald M. W. Wood in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Series page
- Title page
- Copyright information
- Contents of Volume 1
- Contents of Volume 2
- Preface
- 1 Steenrod squares and the hit problem
- 2 Conjugate Steenrod squares
- 3 The Steenrod algebra A<sub>2</sub>
- 4 Products and conjugation in A<sub>2</sub>
- 5 Combinatorial structures
- 6 The cohit module Q(n)
- 7 Bounds for dim Q<sup>d</sup>(n)
- 8 Special blocks and a basis for Q(3)
- 9 The dual of the hit problem
- 10 K(3) and Q(3) as F<sub>2</sub>GL(3)-modules
- 11 The dual of the Steenrod algebra
- 12 Further structure of A<sub>2</sub>
- 13 Stripping and nilpotence in A<sub>2</sub>
- 14 The 2-dominance theorem
- 15 Invariants and the hit problem
- Bibliography
- Index of Notation for Volume 1
- Index for Volume 1
- Index of Notation for Volume 2
- Index for Volume 2