Fulltext

Quasi-symmetric functions as polynomial functions on Young diagrams

Aval, Jean-Christophe ; Féray, Valentin ; Novelli, Jean-Christophe ; Thibon, Jean-Yves

In: Journal of Algebraic Combinatorics, 2015, vol. 41, no. 3, p. 669-706

Ajouter à la liste personnelle
    Titre
    • Quasi-symmetric functions as polynomial functions on Young diagrams
    Auteur
    • Aval, Jean-Christophe. LaBRI, Université Bordeaux I, 351 cours de la libération, 33405, Talence cedex, France
    • Féray, Valentin. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland
    • Novelli, Jean-Christophe. Institut Gaspard Monge, Université Paris-Est Marne-la-Vallée, 5 Boulevard Descartes Champs-sur-Marne, 77454, Marne-la-Vallée cedex 2, France
    • Thibon, Jean-Yves. Institut Gaspard Monge, Université Paris-Est Marne-la-Vallée, 5 Boulevard Descartes Champs-sur-Marne, 77454, Marne-la-Vallée cedex 2, France
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Journal of Algebraic Combinatorics, 2015, vol. 41, no. 3, p. 669-706. Springer US; http://www.springer-ny.com
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331396
    Summary
    We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram. We prove that the algebra of such functions is isomorphic to quasi-symmetric functions, and give a noncommutative analog of this result.