Geodesic
Bumping algorithm for set-valued shifted tableaux
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011).

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We present an insertion algorithm of Robinson–Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan. As an application, we obtain a Pieri rule for a K-theoretic analogue of the Schur Q-functions. 
@article{DMTCS_2011_special_260_a44,
     author = {Ikeda, Takeshi and Naruse, Hiroshi and Numata, Yasuhide},
     title = {Bumping algorithm for set-valued shifted tableaux},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)},
     year = {2011},
     doi = {10.46298/dmtcs.2931},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2931/}
}
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%A Naruse, Hiroshi
%A Numata, Yasuhide
%T Bumping algorithm for set-valued shifted tableaux
%J Discrete mathematics & theoretical computer science
%D 2011
%V DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
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Ikeda, Takeshi; Naruse, Hiroshi; Numata, Yasuhide. Bumping algorithm for set-valued shifted tableaux. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011). doi : 10.46298/dmtcs.2931. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2931/

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