Polynomials and the mod 2 Steenrod Algebra. Volume 2, Representations of GL (n,F2) / Grant Walker, Reginald M. W. Wood.
Material type: TextSeries: London Mathematical Society lecture note series ; 442.Publisher: Cambridge : Cambridge University Press, 2018Description: 1 online resource (xxiv, 355 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9781108304092 (ebook)
- 512.55 23
- QA612.782 .W35 2018
Title from publisher's bibliographic system (viewed on 17 Nov 2017).
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.
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