Format:
1 online resource (xxiv, 346 pages)
ISBN:
9781108414487
,
9781108333368
Series Statement:
London Mathematical Society lecture note series 441
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 9781108414487
Additional Edition:
Walker, Grant Polynomials and the mod 2 Steenrod algebra ; Volume 1: The Peterson hit problem Cambridge : Cambridge University Press, 2018 ISBN 9781108414487
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781108414487
Language:
English
Subjects:
Mathematics
Keywords:
Steenrod-Algebra
DOI:
10.1017/9781108333368
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