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Number of standard strong marked tableaux

Abstract : Many results involving Schur functions have analogues involving $k-$Schur functions. Standard strong marked tableaux play a role for $k-$Schur functions similar to the role standard Young tableaux play for Schur functions. We discuss results and conjectures toward an analogue of the hook length formula.
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Susanna Fishel, Matjaž Konvalinka. Number of standard strong marked tableaux. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.755-766, ⟨10.46298/dmtcs.2340⟩. ⟨hal-01229659⟩

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