A Type B Analogue to Ribbon Tableaux
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866913778565644288 |
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| author | Oğuz, Ezgi Kantarcı |
| author_facet | Oğuz, Ezgi Kantarcı |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_07497 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | A Type B Analogue to Ribbon Tableaux Oğuz, Ezgi Kantarcı Combinatorics 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. |
| title | A Type B Analogue to Ribbon Tableaux |
| topic | Combinatorics |
| url | https://arxiv.org/abs/1701.07497 |