Two interacting coordinate Hopf algebras of affine groups of formal series on a category.

DOI10.1155/2013/370618zbMath1342.16029OpenAlexW2040226707WikidataQ58919618 ScholiaQ58919618MaRDI QIDQ895934

Laurent Poinsot

Publication date: 11 December 2015

Published in: Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/370618

zbMATH Keywords

formal seriessmash coproductscoordinate Hopf algebras of affine groupslocally finite categories

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Connections of group theory with homological algebra and category theory (20J99) Hopf algebras and their applications (16T05) Affine algebraic groups, hyperalgebra constructions (14L17) Connections of Hopf algebras with combinatorics (16T30)

Cites Work

• Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
• Möbius inversion formula for monoids with zero.
• The structure of Hopf algebras with a projection
• Categories de Möbius et fonctorialites: un cadre général pour l'inversion de Möbius
• Semi-direct products of Hopf algebras
• Incidence Hopf algebras
• Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
• Affine Hopf algebras. I
• Rings with several objects
• Coalgebras and Bialgebras in Combinatorics
• Pro-Affine Algebraic Groups
• Substitution Groups of Formal Power Series

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