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On Peterson's open problem and representations of the general linear groups - MaRDI portal

On Peterson's open problem and representations of the general linear groups (Q5001917)

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scientific article; zbMATH DE number 7374732

Language	Label	Description	Also known as
English	On Peterson's open problem and representations of the general linear groups	scientific article; zbMATH DE number 7374732

Statements

scholarly article

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Đặng Võ Phúc

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publication date

23 July 2021

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full work available at URL

https://arxiv.org/abs/1907.08768

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zbMATH Keywords

Peterson hit problem

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Steenrod algebra

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general linear group

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Singer algebraic transfer

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.RA

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math.AT

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On the structure and applications of the Steenrod algebra

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On the non-existence of elements of Hopf invariant one

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The Iteration of the Steenrod Squares in Algebraic Topology

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On the homology of elementary Abelian groups as modules over the Steenrod algebra

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The mod-\(p\) lower central series and the Adams spectral sequence

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On the behavior of the algebraic transfer

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Determination of \(\mathrm{Ext}^{5,*}_{\mathcal A}(\mathbb Z/2,\mathbb Z/2)\)

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Lambda algebra and the Singer transfer

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Monomial Bases for 𝐻*(𝐂𝐏^{∞}×𝐂𝐏^{∞}) over 𝒜(𝓅)

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\({\mathcal A}(p)\) generators for \(H^*V\) and Singer's homological transfer

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The hit problem for the Dickson algebra

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The cohomology of the Steenrod algebra and representations of the general linear groups

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A-Generators for the Dickson Algebra

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The hit problem for symmetric polynomials over the Steenrod algebra

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\(Ext_A^{4,\ast}(\mathbb Z/2,\mathbb Z/2)\) and \(Ext_A^{5,\ast}(\mathbb Z/2,\mathbb Z/2)\)

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THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS

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On the action of the Dyer-Lashof algebra in \(H*(G)\)

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The iterated transfer analogue of the new doomsday conjecture

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Dimension result for the polynomial algebra \(\mathbb F_2[x_1,\dots,x_n]\) as a module over the Steenrod algebra

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Some relations between admissible monomials for the polynomial algebra

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Generic \(\mathcal A\)-generators for the polynomial algebra

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Algebraic transfer and action of linear groups on mod 2 divided powers

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Global structure of the mod two symmetric algebra, \(H^\ast(BO;\mathbb F_2)\) over the Steenrod Algebra

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Beyond the hit problem: Minimal presentations of odd-primary Steenrod modules, with application to \(\mathbb CP^\infty\) and BU

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A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem

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

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Sparseness for the symmetric hit problem at all primes

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<i>A</i>-generators for certain polynomial algebras

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The ``hit'' problem of five variables in the generic degree and its application

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A NOTE ON THE EPIMORPHISM OF THE FIFTH ALGEBRAIC TRANSFER

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

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On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra

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On Characterizing Summands in the Classifying Space of a Group, I

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On the subalgebra of \(H_*(({\mathbb{R}}\text{P}^\infty)^n;F_2)\) annihilated by Steenrod operations

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On the action of Steenrod squares on polynomial algebras. II

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The transfer in homological algebra

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On the Action of Steenrod Squares on Polynomial Algebras

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Rings of symmetric functions as modules over the Steenrod algebra

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Cohomology Operations (AM-50)

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The negative answer to Kameko's conjecture on the hit problem

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On the Peterson hit problem

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

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The squaring operation and the Singer algebraic transfer

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On the cohomology of the Steenrod algebra

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THE ADMISSIBLE MONOMIAL BASIS FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA IN SOME DEGREES

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Young tableaux and the Steenrod algebra

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Weyl modules and the mod 2 Steenrod algebra

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Polynomials and the mod 2 Steenrod Algebra

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Generators and relations for the Steenrod algebra

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On the cohomology of the mod-2 Steenrod algebra and the non-existence of elements of Hopf invariant one

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Steenrod squares of polynomials and the Peterson conjecture

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Problems in the Steenrod Algebra

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.4134/JKMS.J200219

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Sitelinks

Mathematics(1 entry)

mardi Publication:5001917

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