Polynomials and the mod 2 Steenrod Algebra
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
1108414451
ISBN-13
9781108414456
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 9th, 2017
Print length
378 Pages
Weight
562 grams
Dimensions
15.50 x 22.80 x 2.50 cms
Ksh 15,100.00
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This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. This second volume broadens the discussion to include modular representations of matrix groups.
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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