Polynomials mod 2 Steenrod Algebra 441 Grant Walker Paperback 9781108414487 VG

Polynomials and the mod 2 Steenrod Algebra: 441 (London Mathematical Society Lecture Note Series, Series Number 441)Grant Walker\nCambridge University Press\nPaperback\nUnused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page.\nEAN: 9781108414487\nPublished: 09/11/2017\nLanguage: English\nThis 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 gradua.