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

DOI10.1090/S0002-9947-05-03889-4zbMath1074.55006OpenAlexW2125035625MaRDI QIDQ5461375

Nguyen Hu'u Viet Hu'ng

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03889-4

zbMATH Keywords

coinvariantstransferspikestem

Mathematics Subject Classification ID

Steenrod algebra (55S10) Adams spectral sequences (55T15) Infinite loop spaces (55P47) Stable homotopy of spheres (55Q45)

Related Items (22)

On the Peterson hit problem ⋮ The squaring operation on \({\mathcal A}\)-generators of the Dickson algebra ⋮ Kameko's homomorphism and the algebraic transfer ⋮ 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 ⋮ The affirmative answer to Singer's conjecture on the algebraic transfer of rank four ⋮ Lambda algebra and the Singer transfer ⋮ The ``hit problem of five variables in the generic degree and its application ⋮ On the May spectral sequence and the algebraic transfer. II. ⋮ On May spectral sequence and the algebraic transfer ⋮ The squaring operation on -generators of the Dickson algebra. ⋮ The algebraic transfer for the real projective space ⋮ Algebraic transfer and action of linear groups on mod 2 divided powers ⋮ 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 ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ On May spectral sequence and the algebraic transfer ⋮ A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ The image of Singer's fourth transfer ⋮ The Singer transfer for infinite real projective space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology operations derived from modular invariants
• The Segal conjecture for elementary abelian \(p\)-groups
• An infinite family in the cohomology of the Steenrod algebra
• Classifying spaces, Steenrod operations and algebraic closure
• The transfer in homological algebra
• The weak conjecture on spherical classes
• On the structure of Hopf algebras
• On the cohomology of the Steenrod algebra
• The hit problem for the Dickson algebra
• Steenrod squares of polynomials and the Peterson conjecture
• On the Action of Steenrod Squares on Polynomial Algebras
• THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS
• Hilbert's Theorem 90 and the Segal Conjecture for Elementary Abelian p-Groups
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• The iterated transfer analogue of the new doomsday conjecture
• Problems in the Steenrod Algebra
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Spherical classes and the algebraic transfer
• On the behavior of the algebraic transfer
• On Excess in the Milnor Basis
• On Characterizing Summands in the Classifying Space of a Group, I

This page was built for publication: The cohomology of the Steenrod algebra and representations of the general linear groups