Geodesic
Vertex operators for standard bases of the symmetric functions
Journal of Algebraic Combinatorics, Tome 13 (2001) no. 1, pp. 83-101.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present formulas for operators which add a row or a column to the partition indexing the power, monomial, forgotten, Schur, homogeneous and elementary symmetric functions. As an application of these operators we show that the operator that adds a column to the Schur unctions can be used to calculate a formula for the number of pairs of standard tableaux the same shape and height less than or equal to a fixed $k$.
Keywords: symmetric functions, vertex operators 
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Zabrocki, Mike. Vertex operators for standard bases of the symmetric functions. Journal of Algebraic Combinatorics, Tome 13 (2001) no. 1, pp. 83-101. http://geodesic.mathdoc.fr/item/JAC_2001__13_1_a0/