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Polynomials and the mod 2 Steenrod Algebra : Volume 1: 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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Walker, Grant, 1960- (Author), Wood, Reginald M. W. (Author)
Format: Electronic eBook
Language:Inglés
Published: Cambridge : Cambridge University Press, 2018.
Series:London Mathematical Society lecture note series ; 441.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Steenrod squares and the hit problem
  • Conjugate Steenrod squares
  • The Steenrod algebra A2
  • Products and conjugation in A2
  • Combinatorial structures
  • The cohit module Q(n)
  • Bounds for dimQd(n)
  • Special blocks and a basis for Q(3)
  • The dual of the hit problem
  • K(3) and Q(3) as F2GL(3)-modules
  • The dual of the Steenrod algebra
  • Further structure of A2
  • Stripping and nilpotence in A2
  • The 2-dominance theorem
  • Invariants and the hit problem.