Geodesic
Unstable algebras over an operad II
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 37-67.

Voir la notice de l'article provenant de la source International Press of Boston

$\def\P\{\mathcal{P}}$We work over the finite field $\mathbb{F}_q$. We introduce a notion of unstable $\P$-algebra over an operad $\P$. We show that the unstable $\P$-algebra freely generated by an unstable module is itself a free $\P$-algebra under suitable conditions. We introduce a family of ‘$q$-level’ operads which allows us to identify unstable modules studied by Brown–Gitler, Miller and Carlsson in terms of free unstable $q$-level algebras.
DOI : 10.4310/HHA.2024.v26.n1.a4
Classification : 17A30, 55S10
Keywords: Steenrod algebra, bialgebra, unstable module, operad 
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Sacha Ikonicoff. Unstable algebras over an operad II. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 37-67. doi : 10.4310/HHA.2024.v26.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a4/

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