On the Action of Steenrod Squares on Polynomial Algebras
From MaRDI portal
Publication:3211980
DOI10.2307/2048351zbMath0724.55013OpenAlexW4236011740MaRDI QIDQ3211980
Publication date: 1991
Full work available at URL: https://doi.org/10.2307/2048351
Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Homological methods in group theory (20J05) Steenrod algebra (55S10) Adams spectral sequences (55T15) Stable homotopy groups (55Q10) Homotopy groups of spheres (55Q40) Primary cohomology operations in algebraic topology (55S05)
Related Items (35)
On the Peterson hit problem ⋮ THE ADMISSIBLE MONOMIAL BASIS FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA IN SOME DEGREES ⋮ Generic \(\mathcal A\)-generators for the polynomial algebra ⋮ Weyl modules and the mod 2 Steenrod algebra ⋮ On the action of Steenrod squares on polynomial algebras. II ⋮ Kameko's homomorphism and the algebraic transfer ⋮ Hit problem for the polynomial algebra as a module over the Steenrod algebra in some degrees ⋮ Stripping and conjugation in the Steenrod algebra ⋮ On Peterson's open problem and representations of the general linear groups ⋮ On the hit problem for the polynomial algebra ⋮ Multiplication and combinatorics in the Steenrod algebra ⋮ Admissible monomials and generating sets for the polynomial algebra as a module over the Steenrod algebra ⋮ On the fifth Singer algebraic transfer in a generic family of internal degree characterized by \(\mu (n)=4\) ⋮ Rings of symmetric functions as modules over the Steenrod algebra ⋮ Sparseness for the symmetric hit problem at all primes ⋮ 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 ⋮ Dimension 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 vectors ⋮ A criterion for a monomial in P(3) to be hit ⋮ Conjugation and Excess in 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 ⋮ Some relations between admissible monomials for the polynomial algebra ⋮ \(A\)-generators for ideals in the Dickson algebra ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ Polynomial Modules Over the Steenrod Algebra and Conjugation in the Milnor Basis ⋮ Linking first occurrence polynomials over \(\mathbb{F}_2\) by Steenrod operations ⋮ On the generators of the polynomial algebra as a module over the Steenrod algebra ⋮ The cohomology of the Steenrod algebra and representations of the general linear groups ⋮ Flag modules and the hit problem for the Steenrod algebra ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ Unnamed Item ⋮ Linking first occurrence polynomials over \( \mathbb F_p\) by Steenrod operations ⋮ The iterated transfer analogue of the new doomsday conjecture
Cites Work
This page was built for publication: On the Action of Steenrod Squares on Polynomial Algebras
