Rings of symmetric functions as modules over the Steenrod algebra

DOI10.2140/agt.2008.8.541zbMath1137.13005OpenAlexW2169941341MaRDI QIDQ2426842

William M. Singer

Publication date: 14 May 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2008.8.541

zbMATH Keywords

Steenrod algebraAdams spectral sequencealgebraic transfercohomology of the Steenrod algebracohomology of classifying spaceshit elements

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Actions of groups on commutative rings; invariant theory (13A50) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Adams spectral sequences (55T15) Stable homotopy of spheres (55Q45)

Related Items

On Peterson's open problem and representations of the general linear groups ⋮ On the dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ring ⋮ On \(\mathbb{A}\)-generators of the cohomology \(H^* (V^{\bigoplus 5}) = \mathbb{Z}/2 [u_1, \ldots, u_5\) and the cohomological transfer of rank 5] ⋮ Sparseness for the symmetric hit problem at all primes ⋮ The hit problem for \(H^{*}(BU(2); \mathbb F_p)\) ⋮ Relations among the kernels and images of Steenrod squares acting on right \(\mathcal A\)-modules ⋮ A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem ⋮ The Dyer-Lashof algebra and the hit problems ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ On the hit problem for the Steenrod algebra in the generic degree and its applications

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