Conjugation Invariants in the Mod 2 Dual Leibniz–Hopf Algebra

DOI10.1080/00927872.2012.682675zbMath1284.16038OpenAlexW1985023732MaRDI QIDQ2848500

Neşet Deniz Turgay, Martin D. Crossley

Publication date: 26 September 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.682675

zbMATH Keywords

antipodesquasisymmetric functionscocommutative Hopf-algebrasLeibniz-Hopf algebrasSteenrod algebras

Mathematics Subject Classification ID

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

Related Items (4)

The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra ⋮ Conjugation invariants in the Leibniz-Hopf algebra. ⋮ Graphical calculus of Hopf crossed modules ⋮ On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra

Cites Work

• 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
• 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
• Cohomology Operations (AM-50)
• On conjugation invariants in the dual Steenrod algebra
• The Steenrod Algebra and Other Copolynomial Hopf Algebras
• The algebra of quasi-symmetric functions is free over the integers

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