Stripping and conjugation in the mod $p$ Steenrod algebra and its dual

Dagmar M. Meyer

Homology, homotopy, and applications, Tome 2 (2000) no. 1, pp. 1-16.

Résumé

Let $p$ be an odd prime and ${\cal A}^{\ast}$ the mod $p$ Steenrod algebra. We study the technique known as “stripping” applied to ${\cal A}^{\ast}$ and derive certain conjugation formulas both for ${\cal A}^{\ast}$ and its dual, generalising work of J. H. Silverman for $p=2$ (“Conjugation and excess in the Steenrod algebra”, Proc. Am. Math. Soc. 119 (1993), no. 2, 657-661; “Hit polynomials and conjugation in the dual Steenrod algebra”, Math. Proc. Camb. Philos. Soc. 123 (1998), no. 531-547) to the case of an odd prime.

Détail

DOI : 10.4310/HHA.2000.v2.n1.a1

Classification : 55S10
Keywords: stripping, conjugation, Steenrod algebra, antiautomorphism