Cyclic sieving for a class of rectangular domino tableaux
Combinatorics
2026-02-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2602.23343,
title = {Cyclic sieving for a class of rectangular domino tableaux},
author = {Laura Colmenarejo and Bridget Eileen Tenner and Camryn E. Thompson},
journal= {arXiv preprint arXiv:2602.23343},
year = {2026}
}
Comments
17 pages