Homology, Homotopy and Applications
Volume 9 (2007)
Beyond the hit problem: Minimal presentations of odd-primary Steenrod modules, with application to $CP(\infty)$ and BU
Pages: 363 – 395
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.
Steenrod algebra; unstable; Kudo-Araki-May algebra; complex projective space; BU
2010 Mathematics Subject Classification
55R40, 55R45, 55S05, 55S10