Crystal graphs for shifted tableaux
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ID: 283440
2018
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Abstract
We define crystal operators on semistandard shifted tableaux, giving a new
proof that Schur $P$-functions are Schur positive. We define a queer crystal
operator to construct a connected queer crystal on semistandard shifted
tableaux of a given shape, providing a new proof that products of Schur
$P$-functions are Schur $P$-positive. We also give a rectification map from
shifted tableaux to Young tableaux that commutes with the crystal operators and
provides a dual algorithm to shifted insertion.
| Reference Key |
oğuz2018crystal
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|---|---|
| Authors | Sami Assaf; Ezgi Kantarcı Oğuz |
| Journal | arXiv |
| Year | 2018 |
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