Polynomials and the mod 2 Steenrod Algebra

DOI10.1017/9781108333368zbMath1387.55001OpenAlexW4301444847MaRDI QIDQ5357894

R. M. W. Wood, Grant Walker

Publication date: 18 September 2017

Full work available at URL: https://doi.org/10.1017/9781108333368

zbMATH Keywords

polynomial algebrasSteenrod algebrahit problem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Steenrod algebra (55S10) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Primary cohomology operations in algebraic topology (55S05)

Related Items (15)

Two coniveau filtrations ⋮ 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 ⋮ Connectedness of graphs arising from the dual Steenrod algebra ⋮ On the fifth Singer algebraic transfer in a generic family of internal degree characterized by \(\mu (n)=4\) ⋮ 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] ⋮ The squaring operation and the hit problem for the polynomial algebra in a type of generic degree ⋮ The ``hit problem of five variables in the generic degree and its application ⋮ The hit problem for the polynomial algebra in some weight vectors ⋮ A note on the Peterson hit problem for the Steenrod algebra ⋮ The squaring operation and the Singer algebraic transfer ⋮ Symmetric powers, Steenrod operations and representation stability ⋮ The Dyer-Lashof algebra and the hit problems ⋮ Stanley-Reisner rings and the occurrence of the Steinberg representation in the hit problem ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer

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