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arXiv · 1811.03338

The $mod2$ Steenrod and Dyer-Lashof algebras as quotients of a free algebra

Nondas E. Kechagias
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Abstract

A non-connected neither of finite type Hopf algebra $\mathcal{F}_{0}$ is defined over $\mathbb{Z}/ 2\mathbb{Z}$ and its hom dual turns out to be a tensor product of polynomial algebras. Certain quotient Hopf algebras include the Steenrod and Dyer-Lashof algebras. This setting provides a map between the Steenrod coalgebra and a direct limit of Dyer-Lashof coalgebras.

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Nondas E. Kechagias. 2018-11-08. The $mod2$ Steenrod and Dyer-Lashof algebras as quotients of a free algebra. https://arxiv.org/abs/1811.03338

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