skip to main content
LOTERRE

LOTERRE

Mathematics (thesaurus)

Choisissez le vocabulaire dans lequel chercher

Langue des données

| español English
Aide à la recherche

Concept information

mathematical analysis > function > symmetric function > quasisymmetric function
mathematical analysis > combinatorics > algebraic combinatorics > quasisymmetric function
algebra > combinatorics > algebraic combinatorics > quasisymmetric function
algebra > representation theory > Hopf algebra > quasisymmetric function
... > algebra > abstract algebra > algebraic structure > associative algebra > Hopf algebra > quasisymmetric function
category theory > Hopf algebra > quasisymmetric function
... > algebra > abstract algebra > algebraic structure > bialgebra > Hopf algebra > quasisymmetric function

Terme préférentiel

quasisymmetric function  

Définition(s)

  • In algebra and in particular in algebraic combinatorics, a quasisymmetric function is any element in the ring of quasisymmetric functions which is in turn a subring of the formal power series ring with a countable number of variables. This ring generalizes the ring of symmetric functions. This ring can be realized as a specific limit of the rings of quasisymmetric polynomials in n variables, as n goes to infinity. This ring serves as universal structure in which relations between quasisymmetric polynomials can be expressed in a way independent of the number n of variables (but its elements are neither polynomials nor functions).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Quasisymmetric_function)

Concept(s) générique(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-LTZS5RBS-J

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Date de création 18/08/2023, dernière modif. 18/08/2023