A Type B Analogue to Ribbon Tableaux
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ID: 283439
2017
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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.
| Reference Key |
oğuz2017a
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|---|---|
| Authors | Ezgi Kantarcı Oğuz |
| Journal | arXiv |
| Year | 2017 |
| DOI |
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