Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)
Author | : Grant Walker |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2017-11-09 |
ISBN-13 | : 1108414451 |
ISBN-10 | : 9781108414456 |
Rating | : 4/5 (56 Downloads) |
Download or read book Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.