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

Language: English

Published by Cambridge University Press, GB, 2017

1108414486 / 9781108414487

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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.

Seller Inventory # LU-9781108414487

Title
Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem
Author
Grant Walker, Reginald M. W. Wood
Publisher
Cambridge University Press, GB
Publication year
2017
Condition
New
Binding
Paperback
Language
English
ISBN 10
1108414486
ISBN 13
9781108414487
Item weight
560 grams

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