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

Author: Grant Walker; Reginald M W Wood
Publisher: Cambridge : Cambridge University Press, 2018. ©2018
Series: London Mathematical Society lecture note series, 441.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Walker, Grant.
Polynomials and the mod 2 Steenrod algebra. Volume 1, The Peterson hit problem.
Cambridge : Cambridge University Press, 2018
(OCoLC)1016331117
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Grant Walker; Reginald M W Wood
ISBN: 1108359299 9781108359290
OCLC Number: 1013722827
Description: 1 online resource (xxiv, 346 pages) : illustrations
Contents: Steenrod squares and the hit problem --
Conjugate Steenrod squares --
The Steenrod algebra A2 --
Products and conjugation in A2 --
Combinatorial structures --
The cohit module Q(n) --
Bounds for dimQd(n) --
Special blocks and a basis for Q(3) --
The dual of the hit problem --
K(3) and Q(3) as F2GL(3)-modules --
The dual of the Steenrod algebra --
Further structure of A2 --
Stripping and nilpotence in A2 --
The 2-dominance theorem --
Invariants and the hit problem.
Series Title: London Mathematical Society lecture note series, 441.
Other Titles: Peterson hit problem
Responsibility: Grant Walker, Reginald M.W. Wood.

Abstract:

This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. Developing the structure of the Steenrod algebra from an algebraic  Read more...

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