Cyclic sieving for a class of rectangular domino tableaux
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912928595181568 |
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| author | Colmenarejo, Laura Tenner, Bridget Eileen Thompson, Camryn E. |
| author_facet | Colmenarejo, Laura Tenner, Bridget Eileen Thompson, Camryn E. |
| contents | The cyclic sieving phenomenon (CSP) provides valuable data about symmetry classes of cyclic actions, and has applications to representation theory. In this paper, we enumerate domino tableaux of shape 2-by-n, and use this result to prove a new CSP on these objects. We then enumerate the rectangular domino tableaux of any dimensions, and conjecture a more general CSP on rectangular domino tableaux. As a consequence of the enumerative results, we obtain several identities involving Fibonacci and Catalan numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23343 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cyclic sieving for a class of rectangular domino tableaux Colmenarejo, Laura Tenner, Bridget Eileen Thompson, Camryn E. Combinatorics Primary: 05E18, Secondary: 05A15, 05A10 The cyclic sieving phenomenon (CSP) provides valuable data about symmetry classes of cyclic actions, and has applications to representation theory. In this paper, we enumerate domino tableaux of shape 2-by-n, and use this result to prove a new CSP on these objects. We then enumerate the rectangular domino tableaux of any dimensions, and conjecture a more general CSP on rectangular domino tableaux. As a consequence of the enumerative results, we obtain several identities involving Fibonacci and Catalan numbers. |
| title | Cyclic sieving for a class of rectangular domino tableaux |
| topic | Combinatorics Primary: 05E18, Secondary: 05A15, 05A10 |
| url | https://arxiv.org/abs/2602.23343 |