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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Walker, Grant, 1960- (Autor), Wood, Reginald M. W. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2018.
Colección:London Mathematical Society lecture note series ; 441.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.