Cyclic Sieving for Plane Partitions and Symmetry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Hopkins, Sam
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211089
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Cyclic Sieving for Plane Partitions and Symmetry. Sam Hopkins. SIGMA 16 (2020), 130, 40 pages

The cyclic sieving phenomenon of Reiner, Stanton, and White says that we can often count the fixed points of elements of a cyclic group acting on a combinatorial set by plugging roots of unity into a polynomial related to this set. One of the most impressive instances of the cyclic sieving phenomeno...