Coalgebras and bialgebras in combinatorics

DOI10.1090/conm/006/646798zbMath0491.05021OpenAlexW4253157359MaRDI QIDQ3952115

Gian-Carlo Rota, S. A. Joni

Publication date: 1982

Published in: Umbral calculus and Hopf algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/006/646798

Mathematics Subject Classification ID

Related Items (22)

Endomorphisms of the binomial coalgebra. ⋮ Unnamed Item ⋮ Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization ⋮ Hopf Monoids and Generalized Permutahedra ⋮ HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY ⋮ The geometry of geometries: matroid theory, old and new ⋮ String topology in three flavors ⋮ Combinatorics of Poincaré’s and Schröder’s equations ⋮ Perturbation theory and free resolutions for nilpotent groups of class 2 ⋮ The Hopf monoid and the basic invariant of directed graphs ⋮ COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I ⋮ Noncommutative free cumulants ⋮ Limit elements in the configuration algebra for a cancellative monoid ⋮ Composition sequences ⋮ Lattice congruences, fans and Hopf algebras. ⋮ Gončarov polynomials in partition lattices and exponential families ⋮ Hopf Algebras ⋮ Hopf-algebraic structure of families of trees ⋮ A ONE-PARAMETER DEFORMATION OF THE NONCOMMUTATIVE LAGRANGE INVERSION FORMULA ⋮ On a Hopf algebra in graph theory ⋮ Free cumulants, Schröder trees, and operads

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