Representations of GL (n,F2)
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 :Representations of GL (n,F2) / 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, 355 pages)
Edition Identifiers
- ISBN:9781108304092, 1108304095
- oclc:on1018450669
- LC Classification:QA612.782
- Dewey Decimal:512.55
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