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

From MaRDI portal
Publication:1877883

DOI10.1016/j.aim.2003.08.004zbMath1060.55006OpenAlexW2062117975MaRDI QIDQ1877883

Tran Ngoc Nam

Publication date: 19 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.08.004




Related Items

On the Peterson hit problemOn Peterson's open problem and representations of the general linear groupsOn the hit problem for the polynomial algebraOn the dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ringAdmissible monomials and generating sets for the polynomial algebra as a module over the Steenrod algebraA note on the $\mathcal{A}$-generators of the polynomial algebra of six variables and applicationsRings of symmetric functions as modules over the Steenrod algebraSparseness for the symmetric hit problem at all primesThe squaring operation and the hit problem for the polynomial algebra in a type of generic degreeRelations among the kernels and images of Steenrod squares acting on right \(\mathcal A\)-modulesThe ``hit problem of five variables in the generic degree and its applicationOn the homology of elementary Abelian groups as modules over the Steenrod algebraDimension result for the polynomial algebra \(\mathbb F_2[x_1,\dots,x_n\) as a module over the Steenrod algebra] ⋮ The hit problem for the polynomial algebra in some weight vectorsA note on the Peterson hit problem for the Steenrod algebraAlgebraic transfer and action of linear groups on mod 2 divided powersThe squaring operation and the Singer algebraic transferOn a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebraSome relations between admissible monomials for the polynomial algebraThe negative answer to Kameko's conjecture on the hit problemA new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problemThe negative answer to Kameko's conjecture on the hit problemOn the generators of the polynomial algebra as a module over the Steenrod algebraFlag modules and the hit problem for the Steenrod algebraUnnamed ItemUnnamed ItemOn the hit problem for the Steenrod algebra in the generic degree and its applications



Cites Work


This page was built for publication: Generic \(\mathcal A\)-generators for the polynomial algebra