Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by Grant Walker, Reginald M. W. Wood, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Grant Walker, Reginald M. W. Wood ISBN: 9781108355933
Publisher: Cambridge University Press Publication: November 9, 2017
Imprint: Cambridge University Press Language: English
Author: Grant Walker, Reginald M. W. Wood
ISBN: 9781108355933
Publisher: Cambridge University Press
Publication: November 9, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book China as a Polar Great Power by Grant Walker, Reginald M. W. Wood
Cover of the book The Cambridge Companion to William Carlos Williams by Grant Walker, Reginald M. W. Wood
Cover of the book A History of Russian Philosophy 1830–1930 by Grant Walker, Reginald M. W. Wood
Cover of the book The Quantum Theory of Nonlinear Optics by Grant Walker, Reginald M. W. Wood
Cover of the book French Books of Hours by Grant Walker, Reginald M. W. Wood
Cover of the book Mobilizing Money by Grant Walker, Reginald M. W. Wood
Cover of the book Introduction to Environmental Modeling by Grant Walker, Reginald M. W. Wood
Cover of the book Capitalism with Chinese Characteristics by Grant Walker, Reginald M. W. Wood
Cover of the book Power and Humility by Grant Walker, Reginald M. W. Wood
Cover of the book The Hydrogen Economy by Grant Walker, Reginald M. W. Wood
Cover of the book Field and Laboratory Methods in Animal Cognition by Grant Walker, Reginald M. W. Wood
Cover of the book The Cambridge Companion to Gabriel García Márquez by Grant Walker, Reginald M. W. Wood
Cover of the book Slavery, Race, and Conquest in the Tropics by Grant Walker, Reginald M. W. Wood
Cover of the book Constructing Dynamic Triangles Together by Grant Walker, Reginald M. W. Wood
Cover of the book Bluestockings Displayed by Grant Walker, Reginald M. W. Wood
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy