Polynomials and the Mod 2 Steenrod Algebra: Volume 1, the Peterson Hit Problem

ISBN-13: 9781108414487 / Angielski / Miękka / 2017 / 370 str.

Grant Walker; Reginald M. W. Wood

Opis

The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.

Spis treści

Preface; 1. Steenrod squares and the hit problem; 2. Conjugate Steenrod squares; 3. The Steenrod algebra A2; 4. Products and conjugation in A2; 5. Combinatorial structures; 6. The cohit module Q(n); 7. Bounds for dim Qd(n); 8. Special blocks and a basis for Q(3); 9. The dual of the hit problem; 10. K(3) and Q(3) as F2GL(3)-modules; 11. The dual of the Steenrod algebra; 12. Further structure of A2; 13. Stripping and nilpotence in A2; 14. The 2-dominance theorem; 15. Invariants and the hit problem; Bibliography; Index of Notation for Volume 1; Index for Volume 1; Index of Notation for Volume 2; Index for Volume 2.