The hit problem for \(H^{*}(BU(2); \mathbb F_p)\)

DOI10.2140/agt.2013.13.2061zbMath1333.55013OpenAlexW1991785800MaRDI QIDQ1954173

David J. Pengelley, Frank Williams

Publication date: 20 June 2013

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

Full work available at URL: https://doi.org/10.2140/agt.2013.13.2061

zbMATH Keywords

primitive elementsSteenrod algebrahit problemKudo-Araki-May algebrasymmetric invariants

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Homology and cohomology of Lie groups (57T10) Graded rings and modules (associative rings and algebras) (16W50) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45) Homology and cohomology of (H)-spaces (57T25) Primary cohomology operations in algebraic topology (55S05)

Related Items

On Peterson's open problem and representations of the general linear groups ⋮ Sparseness for the symmetric hit problem at all primes ⋮ A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem

Cites Work

• A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem
• Generators of the cohomology of \(BV_3\)
• Rings of symmetric functions as modules over the Steenrod algebra
• Steenrod squares of polynomials and the Peterson conjecture
• A-generators for certain polynomial algebras
• Monomial Bases for 𝐻*(𝐂𝐏^{∞}×𝐂𝐏^{∞}) over 𝒜(𝓅)
• Generating H*(BO(3), ${\bb F}_2$) as a module over the Steenrod algebra
• The hit problem for symmetric polynomials over the Steenrod algebra