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

DOI10.1007/s40062-016-0163-xzbMath1379.55017arXiv1505.05465OpenAlexW2242958370WikidataQ122986806 ScholiaQ122986806MaRDI QIDQ2410701

Neşet Deniz Turgay, Shizuo Kaji

Publication date: 18 October 2017

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05465

zbMATH Keywords

Steenrod algebraLeibniz-Hopf algebra

Mathematics Subject Classification ID

Steenrod algebra (55S10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

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On the fifth Singer algebraic transfer in a generic family of internal degree characterized by \(\mu (n)=4\) ⋮ Leibniz-Hopf ⋮ On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra

Cites Work

• Unnamed Item
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• Conjugation invariants in the Leibniz-Hopf algebra.
• The Steenrod algebra and its dual
• Generalized overlapping shuffle algebras.
• Explicit polynomial generators for the ring of quasisymmetric functions over the integers.
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Change of basis, monomial relations, and \(P_ t^ s\) bases for the Steenrod algebra
• Noncommutative symmetric functions
• Symmetric functions, noncommutative symmetric functions, and quasisymmetric functions
• Duality between quasi-symmetric functions and the Solomon descent algebra
• On posets and Hopf algebras
• On the structure of Hopf algebras
• Conjugation Invariants in the Mod 2 Dual Leibniz–Hopf Algebra
• An alternative approach to the Adem relations in the mod 2 Steenrod algebra
• SOME HOPF ALGEBRAS OF WORDS
• On conjugation invariants in the dual Steenrod algebra
• The algebra of quasi-symmetric functions is free over the integers