Format:
1 online resource (xxiv, 355 pages)
ISBN:
9781108414456
,
9781108304092
Series Statement:
London Mathematical Society lecture note series 442
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 17 Nov 2017)
Additional Edition:
ISBN 9781108414456
Additional Edition:
Walker, Grant #2#Polynomials and the mod 2 Steenrod algebra ; Volume 2: Representations of GL(n,F 2) Cambridge : Cambridge University Press, 2018 ISBN 9781108414456
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781108414456
Language:
English
Subjects:
Mathematics
Keywords:
Steenrod-Algebra
DOI:
10.1017/9781108304092
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