SOME HOPF ALGEBRAS OF WORDS

DOI10.1017/S0017089506003302zbMath1115.16018OpenAlexW2154327542MaRDI QIDQ3422044

Martin D. Crossley

Publication date: 9 February 2007

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089506003302

zbMATH Keywords

Hopf algebrascomultiplicationsmultiplicationsnoncommutative symmetric functionsquasisymmetric functionsdual Steenrod algebraSolomon descent algebrasMalvenuto-Reutenauer algebrasconcatenation Hopf algebrasfree associative ringsoverlapping shuffle products

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Steenrod algebra (55S10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

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. ⋮ (WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES ⋮ On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra

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