Beyond the hit problem: Minimal presentations of odd-primary Steenrod modules, with application to $CP(\infty)$ and BU
Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 363-395.

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

We describe a minimal unstable module presentation over the Steenrod algebra for the odd-primary cohomology of infinite-dimensional complex projective space and apply it to obtain a minimal algebra presentation for the cohomology of the classifying space of the infinite unitary group. We also show that there is a unique Steenrod module structure on any unstable cyclic module that has dimension one in each complex degree (half the topological degree) with a fixed alpha-number (sum of “digits”) and is zero in other degrees.
DOI : 10.4310/HHA.2007.v9.n2.a13
Classification : 55R40, 55R45, 55S05, 55S10
Keywords: Steenrod algebra, unstable, Kudo-Araki-May algebra, complex projective space, BU
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David J. Pengelley; Frank Williams. Beyond the hit problem: Minimal presentations of odd-primary Steenrod modules, with application to $CP(\infty)$ and BU. Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 363-395. doi : 10.4310/HHA.2007.v9.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n2.a13/

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