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- 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.