The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra

Neşet Deniz Turgay; Shizuo Kaji

doi:10.1007/s40062-016-0163-x

The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra

Neşet Deniz Turgay, Shizuo Kaji

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The mod 2 Steenrod algebra A₂ can be defined as the quotient of the mod 2 Leibniz–Hopf algebra F₂ by the Adem relations. Dually, the mod 2 dual Steenrod algebra A2∗ can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz–Hopf algebra F2∗. We study A2∗ and F2∗ from this viewpoint and give generalisations of some classical results in the literature.

Original language	English
Pages (from-to)	727-739
Number of pages	13
Journal	Journal of Homotopy and Related Structures
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/s40062-016-0163-x
Publication status	Published - Sept 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1007/s40062-016-0163-x

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abstract = "The mod 2 Steenrod algebra A2 can be defined as the quotient of the mod 2 Leibniz–Hopf algebra F2 by the Adem relations. Dually, the mod 2 dual Steenrod algebra A2∗ can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz–Hopf algebra F2∗. We study A2∗ and F2∗ from this viewpoint and give generalisations of some classical results in the literature.",

author = "Turgay, {Ne{\c s}et Deniz} and Shizuo Kaji",

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N2 - The mod 2 Steenrod algebra A2 can be defined as the quotient of the mod 2 Leibniz–Hopf algebra F2 by the Adem relations. Dually, the mod 2 dual Steenrod algebra A2∗ can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz–Hopf algebra F2∗. We study A2∗ and F2∗ from this viewpoint and give generalisations of some classical results in the literature.

AB - The mod 2 Steenrod algebra A2 can be defined as the quotient of the mod 2 Leibniz–Hopf algebra F2 by the Adem relations. Dually, the mod 2 dual Steenrod algebra A2∗ can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz–Hopf algebra F2∗. We study A2∗ and F2∗ from this viewpoint and give generalisations of some classical results in the literature.

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The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra

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