Geodesic
Affine charge and the $k$-bounded Pieri rule
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015).

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We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions. This makes it possible to extend the formulation ofthe Kostka–Foulkes polynomials in terms of solvable lattice models by Nakayashiki and Yamada to the affine setting. 
@article{DMTCS_2015_special_285_a14,
     author = {Morse, Jennifer and Schilling, Anne},
     title = {Affine charge and the $k$-bounded {Pieri} rule},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)},
     year = {2015},
     doi = {10.46298/dmtcs.2470},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2470/}
}
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Morse, Jennifer; Schilling, Anne. Affine charge and the $k$-bounded Pieri rule. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi : 10.46298/dmtcs.2470. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2470/

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