On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra

DOI10.3934/era.2020050zbMath1453.55013OpenAlexW3034681866WikidataQ122979703 ScholiaQ122979703MaRDI QIDQ779911

Neşet Deniz Turgay

Publication date: 14 July 2020

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020050

zbMATH Keywords

Hopf algebraSteenrod 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)

Uses Software

• Maple
• SageMath
• Steenrod
• Leibniz-Hopf

Cites Work

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• Conjugation invariants in the Leibniz-Hopf algebra.
• On monomial bases in the mod \(p\) Steenrod algebra
• The Steenrod algebra and its dual
• Generalized overlapping shuffle algebras.
• Explicit polynomial generators for the ring of quasisymmetric functions over the integers.
• The intersection of the admissible basis and the Milnor basis of the Steenrod algebra
• Monomial bases in the Steenrod algebra
• Change of basis, monomial relations, and \(P_ t^ s\) bases for the Steenrod algebra
• On the Adem relations
• Symmetric functions, noncommutative symmetric functions, and quasisymmetric functions
• Duality between quasi-symmetric functions and the Solomon descent algebra
• On posets and Hopf algebras
• Symmetric functions, noncommutative symmetric functions and quasisymmetric functions. II.
• The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra
• Generators and relations for the Steenrod algebra
• On the structure of Hopf algebras
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• Quelques propriétés globales des variétés différentiables
• HIGHER CONJUGATION COHOMOLOGY IN COMMUTATIVE 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
• Conjugation and Excess in the Steenrod Algebra
• Cohomology Operations (AM-50)
• Monomial Bases in the Mod-p Steenrod Algebra
• SOME HOPF ALGEBRAS OF WORDS
• A REMARK ON THE CONJUGATION IN THE STEENROD ALGEBRA
• The nilpotence height of P p n
• On conjugation invariants in the dual Steenrod algebra
• The Steenrod Algebra and Other Copolynomial Hopf Algebras
• Quasi-Hopf Algebras
• On the Anti-Automorphism of the Steenrod Algebra
• A note on bases and relations in the Steenrod algebra
• The nilpotence height of $Sq^{2^n}$
• Graphical calculus of Hopf crossed modules
• Identities for Conjugation in the Steenrod Algebra
• Invariants under decomposition of the conjugation in the mod 2 dual Leibniz-Hopf Algebra
• The Antiautomorphism of the Steenrod Algebra
• The algebra of quasi-symmetric functions is free over the integers

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