Geodesic
Symmetric functions, codes of partitions and the KP hierarchy
Journal of Algebraic Combinatorics, Tome 32 (2010) no. 2, pp. 211-226.

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

Summary: We consider an operator of Bernstein for symmetric functions and give an explicit formula for its action on an arbitrary Schur function. This formula is given in a remarkably simple form when written in terms of some notation based on the code of a partition. As an application, we give a new and very simple proof of a classical result for the KP hierarchy, which involves the Plücker relations for Schur function coefficients in a $\tau $-function for the hierarchy. This proof is especially compact because we are able to restate the Plücker relations in a form that is symmetrical in terms of partition code notation.
Keywords: symmetric functions, Schur functions, plücker relations, KP hierarchy, combinatorial bijection, partition code 
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     title = {Symmetric functions, codes of partitions and the {KP} hierarchy},
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Carrell, S.R.; Goulden, I.P. Symmetric functions, codes of partitions and the KP hierarchy. Journal of Algebraic Combinatorics, Tome 32 (2010) no. 2, pp. 211-226. http://geodesic.mathdoc.fr/item/JAC_2010__32_2_a4/