The Peterson Hit Problem
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 represe…
Read More ↓Title Statements
- Full title :The Peterson Hit Problem / Grant Walker, Reginald M. W. Wood
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 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.
Read More ↓Edition Statements
- Publication Date:2018
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2018
Notes
Title from publisher's bibliographic system (viewed on 17 Nov 2017)
The Physical Object
- Description:1 Online-Ressource (xxiv, 346 pages)
Edition Identifiers
- ISBN:9781108333368, 1108333362
- oclc:on1018450630
- LC Classification:QA612.782
- Dewey Decimal:512.55
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