Exploring the Cyclic Sieving Phenomenon
Helena Chen, Patrick Dejesus, Chenzhi Li · 2014
We will continue our talk about the Cyclic Sieving Phenomenon involving the relationship between q-rational catalan number and the set of non crossing partitions. By utilizing the injective mapping between rational deck paths and non-crossing partitions, we have constructed small cases of how to observe that the set (NC(a;b);Zb 1;Catq(a;b)) exhibits the Cyclic Sieving Phenomenon. We will also demonstrate a few of our MATLAB programs that helped aid us in the progress of trying to prove the Cyclic Sieving Phenomenon.