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arXiv · 1701.07497

A Type B Analogue to Ribbon Tableaux

Ezgi Kantarcı Oğuz
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Abstract

We introduce a shifted analogue of the ribbon tableaux defined by James and Kerber. For any positive integer $k$, we give a bijection between the $k$-ribbon fillings of a shifted shape and regular fillings of a $\lfloor k/2\rfloor$-tuple of shapes called its $k$-quotient. We also define the corresponding generating functions, and prove that they are symmetric, Schur positive and Schur $Q$-positive.

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Ezgi Kantarcı Oğuz. 2017-09-14. A Type B Analogue to Ribbon Tableaux. https://doi.org/10.4310/joc.2020.v11.n1.a8

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