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

Neşet Deniz Turgay, Shizuo Kaji

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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.

Original languageEnglish
Pages (from-to)727-739
Number of pages13
JournalJournal of Homotopy and Related Structures
Volume12
Issue number3
DOIs
Publication statusPublished - Sep 1 2017

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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