The cyclic sieving phenomenon

Authors:
V. Reiner;D. Stanton;D. White
Affiliations:
Department of Mathematics School of Mathematics, University of Minnesota, Minneapolis, MN;Department of Mathematics School of Mathematics, University of Minnesota, Minneapolis, MN;Department of Mathematics School of Mathematics, University of Minnesota, Minneapolis, MN
Venue:
Journal of Combinatorial Theory Series A
Year:
2004

Citing 10
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Abstract

The cyclic sieving phenomenon is defined for generating functions of a set affording a cyclic group action, generalizing Stembridge's q = -1 phenomenon. The phenomenon is shown to appear in various situations, involving q-binomial coefficients, Pólya-Redfield theory, polygon dissections, noncrossing partitions, finite reflection groups, and some finite field q-analogues.