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arXiv · 1601.03999

A new cyclic sieving phenomenon for Catalan objects

Marko Thiel
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Abstract

Based on computational experiments, Jim Propp and Vic Reiner suspected that there might exist a sequence of combinatorial objects $X_n$, each carrying a natural action of the cyclic group $C_{n-1}$ of order $n-1$ such that the triple $\left(X_n,C_{n-1},\frac{1}{[n+1]_q}{2n \brack n}_q\right)$ exhibits the cyclic sieving phenomenon. We prove their suspicion right.

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Marko Thiel. 2016-02-25. A new cyclic sieving phenomenon for Catalan objects. https://arxiv.org/abs/1601.03999

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