Cyclic sieving for a class of rectangular domino tableaux

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Laura Colmenarejo, Bridget Eileen Tenner, Camryn E. Thompson
DOI: 10.48550/arxiv.2602.23343
Cited by: 0

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.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Mathematical Identities Finite Group Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint