Geodesic
A Murnaghan-Nakayama Rule for Generalized Demazure Atoms
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013).

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We prove an analogue of the Murnaghan-Nakayama rule to express the product of a power symmetric function and a generalized Demazure atom in terms of generalized Demazure atoms. 
@article{DMTCS_2013_special_264_a42,
     author = {LoBue, Jamine and Remmel, Jeffrey B.},
     title = {A {Murnaghan-Nakayama} {Rule} for {Generalized} {Demazure} {Atoms}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)},
     year = {2013},
     doi = {10.46298/dmtcs.2358},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2358/}
}
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LoBue, Jamine; Remmel, Jeffrey B. A Murnaghan-Nakayama Rule for Generalized Demazure Atoms. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013). doi : 10.46298/dmtcs.2358. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2358/

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