Approximation of the centre of unstables algebras using the nilpotent filtration - Université d'Angers Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Approximation of the centre of unstables algebras using the nilpotent filtration

Résumé

In a precedent article, we computed the set C(K) of central elements of an unstable algebra K over the Steenrod algebra, in the sense of Dwyer and Wilkerson, when K is noetherian and nil_1-closed. For K noetherian and k a positive integer, we define C_k(K), the set of so-called central elements of K away from Nil_k in such a way that, for K nil k-closed, C(K) = C_k(K). The sets C_k(K) are a decreasing filtration, and we describe the obstruction for an element in C_k(K) to be in C_k+1(K). Since, for K noetherian, K is always nil k-closed for k big enough, this gives us a way to compute the set of central elements of K.
Fichier principal
Vignette du fichier
APPROXIMATION_OF_THE_CENTRE_OF_UNSTABLE_ALGEBRAS_USING_THE_NILPOTENT_FILTRATION.pdf (513.97 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04107005 , version 1 (25-05-2023)

Identifiants

Citer

Ouriel Bloede. Approximation of the centre of unstables algebras using the nilpotent filtration. 2023. ⟨hal-04107005⟩
20 Consultations
8 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More