scholarly journals A cochain level proof of Adem relations in the mod 2 Steenrod algebra

2021 ◽  
Author(s):  
Greg Brumfiel ◽  
Anibal Medina-Mardones ◽  
John Morgan
Keyword(s):  
Steenrod Algebra ◽  
Adem Relations

On the Semi-Tensor Product of the Dyer-Lashof and Steenrod Algebras

1989 ◽  
Vol 41 (4) ◽  
pp. 676-701
Author(s):  
H. E. A. Campbell ◽  
P. S. Selick
Keyword(s):  
Hopf Algebra ◽  
Tensor Product ◽  
Vector Space ◽  
Steenrod Algebra ◽  
Joint Work ◽  
Loop Spaces ◽  
Joint Structure ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
Adem Relations

This paper arises out of joint work with F. R. Cohen and F. P. Peterson [5, 2, 3] on the joint structure of infinite loop spaces QX. The homology of such a space is operated on by both the Dyer-Lashof algebra, R, and the opposite of the Steenrod algebra A∗. We describe a convenient summary of these actions; let M be the algebra which is R ⊗ A∗ as a vector space and where multiplication Q1 ⊗ PJ. Q1’ ⊗ PJ’∗ is given by applying the Nishida relations in the middle and then the appropriate Adem relations on the ends. Then M is a Hopf algebra which acts on the homology of infinite loop spaces.

Polynomials and the mod 2 Steenrod Algebra

2017 ◽  
Author(s):  
Grant Walker ◽  
Reginald M. W. Wood
Keyword(s):  
Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra

2017 ◽  
Author(s):  
Grant Walker ◽  
Reginald M. W. Wood
Keyword(s):  
Steenrod Algebra

A Note on Parabolic Subgroups and the Steenrod Algebra Action

2008 ◽  
Vol 15 (04) ◽  
pp. 689-698
Author(s):  
Nondas E. Kechagias
Keyword(s):  
Steenrod Algebra ◽  
Parabolic Subgroups ◽  
Generating Set ◽  
Modular Invariants ◽  
Dickson Algebra

The ring of modular invariants of parabolic subgroups has been described by Kuhn and Mitchell using Dickson algebra generators. We provide a new generating set which is closed under the Steenrod algebra action along with the relations between these elements.

scholarly journals Multiplication and combinatorics in the Steenrod algebra

1996 ◽  
Vol 111 (1-3) ◽  
pp. 303-323 ◽  
Author(s):  
Judith H. Silverman
Keyword(s):  
Steenrod Algebra

scholarly journals Modules over the Steenrod algebra

Topology ◽  
1971 ◽  
Vol 10 (4) ◽  
pp. 271-282 ◽  
Author(s):  
J.F. Adams ◽  
H.R. Margolis
Keyword(s):  
Steenrod Algebra
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