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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| 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.