Geodesic
Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes
Journal of Algebraic Combinatorics, Tome 28 (2008) no. 1, pp. 139-167.

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

Summary: Some new relations on skew Schur function differences are established both combinatorially using Schützenberger's jeu de taquin, and algebraically using Jacobi-Trudi determinants. These relations lead to the conclusion that certain differences of skew Schur functions are Schur positive. Applying these results to a basis of symmetric functions involving ribbon Schur functions confirms the validity of a Schur positivity conjecture due to McNamara. A further application reveals that certain differences of products of Schubert classes are Schubert positive.
Keywords: keywords Jacobi-trudi determinant, jeu de taquin, ribbon, Schubert calculus, Schur positive, skew Schur function, symmetric function 
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     title = {Schur positivity of skew {Schur} function differences and applications to ribbons and {Schubert} classes},
     journal = {Journal of Algebraic Combinatorics},
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King, Ronald C.; Welsh, Trevor A.; Van Willigenburg, Stephanie J. Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes. Journal of Algebraic Combinatorics, Tome 28 (2008) no. 1, pp. 139-167. http://geodesic.mathdoc.fr/item/JAC_2008__28_1_a4/