Polynomials and the mod 2 Steenrod algebra. volume 2, Representations of GL(n, F₂) /

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 t...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Walker, Grant, 1960- (Autor), Wood, Reginald W. M. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2018.
Colección:London Mathematical Society lecture note series ; 442.
Temas:
Steenrod algebra.
Polynomials.
Algèbre de Steenrod.
Polynômes.
MATHEMATICS > Algebra > Intermediate.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The action of GL(n) on flags
  • Irreducible F2GL(n)-modules
  • Idempotents and characters
  • Splitting P(n) as an A2-module
  • The algebraic group G(n)
  • Endomorphisms of P(n) over A2
  • The Steinberg summands of P(n)
  • The d-spike module J(n)
  • Partial flags and J(n)
  • The symmetric hit problem
  • The dual of the symmetric hit problem
  • The cyclic splitting of P(n)
  • The cyclic splitting of DP(n)
  • The 4-variable hit problem, I
  • The 4-variable hit problem, II.

Ejemplares similares