On the generators of the polynomial algebra as a module over the Steenrod algebra

DOI10.1016/J.CRMA.2015.09.002zbMath1337.55022arXiv1607.01095OpenAlexW2194967678MaRDI QIDQ5965059

Đặng Võ Phúc, Nguyễn Sum

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01095

zbMATH Keywords

polynomial algebraSteenrod squaresPeterson hit problem

Mathematics Subject Classification ID

Steenrod algebra (55S10)

Related Items (13)

Hit problem for the polynomial algebra as a module over the Steenrod algebra in some degrees ⋮ 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 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 ⋮ On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ Unnamed Item

Cites Work

• On the hit problem for the polynomial algebra
• The transfer in homological algebra
• On the subalgebra of \(H_*(({\mathbb{R}}\text{P}^\infty)^n;F_2)\) annihilated by Steenrod operations
• Generic \(\mathcal A\)-generators for the polynomial algebra
• On the Peterson hit problem
• Weyl modules and the mod 2 Steenrod algebra
• Dimension result for the polynomial algebra \(\mathbb F_2[x_1,\dots,x_n\) as a module over the Steenrod algebra]
• Steenrod squares of polynomials and the Peterson conjecture
• On the Action of Steenrod Squares on Polynomial Algebras
• Cohomology Operations (AM-50)
• GENERATORS OF THE POLYNOMIAL ALGEBRA AS A MODULE OVER THE STEENROD ALGEBRA
• On Characterizing Summands in the Classifying Space of a Group, I
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