Geodesic
On the Semi-Tensor Product of the Dyer-Lashof and Steenrod Algebras
Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 676-701

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Campbell, H. E. A.; Selick, P. S. On the Semi-Tensor Product of the Dyer-Lashof and Steenrod Algebras. Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 676-701. doi: 10.4153/CJM-1989-031-x
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