Hopf Algebras of Combinatorial Structures

DOI10.4153/CJM-1993-021-5zbMath0781.16026MaRDI QIDQ5288004

William R. Schmitt

Publication date: 8 August 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionsHopf algebrascoalgebrasbialgebrasantipodecocommutative coalgebrasrelational categoriescomodule coalgebrasJoyal's species\(R\)- speciescategory of functionscoherent exponential \(R\)-speciescoinjectionshereditary speciesspecies with restrictions

Mathematics Subject Classification ID

Related Items (19)

The eigenvalues of hyperoctahedral descent operators and applications to card-shuffling ⋮ The shuffle Hopf algebra and noncommutative full completeness ⋮ Universal Tutte characters via combinatorial coalgebras ⋮ Incidence Hopf algebras ⋮ Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness ⋮ Hopf Monoids and Generalized Permutahedra ⋮ Hopf monoids, permutohedral cones, and generalized retarded functions ⋮ Quasisymmetric Functions for Nestohedra ⋮ The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations ⋮ Combinatorial Hopf algebras from representations of families of wreath products ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ The Hopf monoid and the basic invariant of directed graphs ⋮ Antipodes and involutions ⋮ 2-Segal sets and the Waldhausen construction ⋮ On the combinatorics of the universal enveloping algebra \(\widehat{U}_h(\mathfrak{sl}_2)\) ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Möbius functions of directed restriction species and free operads, via the generalised Rota formula ⋮ Combinatorial models for coalgebraic structures

This page was built for publication: Hopf Algebras of Combinatorial Structures